Knowledge (XXG)

Henri Cartan

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he put many efforts to improve the cooperation between French and German mathematicians and restore the flow of exchanges of ideas and students.
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According to his own words, Henri Cartan was interested in mathematics at a very young age, without being influenced by his family. He moved to
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in Paris, remarking the common heritage and future of European countries and praising the first reunion between mathematicians from the two
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by Henri Cartan as member of the 'Association européenne des enseignants' (AEDE) and the 'Mouvement fédéraliste européen' (MFE) are at the
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During the 70's and the 80's Cartan used his influence to help obtain the release of several dissident mathematicians, including
482: 439: 895: 110: 1721: 792:, amongst others of the leading lights of the younger generation. The number of his official students was small, but includes 3364: 2966: 2724: 249: 3634: 2540: 404: 92: 978:. ActualitĂ©s scientifiques et industrielles vol.198, ExposĂ©s mathĂ©matiques; IX (in French). Hermann & Cie. p. 55. 2976: 2375: 1488: 715: 1852: 882:
on homological algebra was an important text, treating the subject with a moderate level of abstraction with the help of
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Cartan died on 13 August 2008 at the age of 104. His funeral took place the following Wednesday on 20 August in
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Sur les classes de fonctions definies par des inégalités portant sur leurs dérivées successives
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Sur les systÚmes de fonctions holomorphes à variétés linéaires lacunaires et leurs applications
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Sur les systÚmes de fonctions holomorphes à variétés linéaires lacunaires et leurs applications
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Since the 30's Cartan had tight collaborations with many German mathematicians, including
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and École Normale SupĂ©rieure. From 1969 until his retirement in 1975 he was professor at
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Théorie élémentaire des fonctions analytiques d'une ou plusieurs variables complexes
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in 1934 and one of its most active participants. After 1945 he started his own
342: 338: 3514: 3350: 3330: 3176: 3131: 2626:(1952a). "Espaces fibrés et groupes d'homotopie. I. Constructions générales". 1774:"Sur les fonctions de plusieurs variables complexes. Les espaces analytiques." 602: 494: 458: 2683: 2641: 2597: 2472: 2173: 1543: 1441: 1245: 1008: 983: 3510: 3216: 3196: 2205: 2191: 1821: 1568: 1484: 1432: 513: 348: 253: 2464: 2287: 2268: 1593:[Chronological list of the Peccot lectures with titles since 1899] 1200:
Elementary Theory of Analytic Functions of One or Several Complex Variables
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Cartan's first research interests, until the 40's, were in the theory of
750: 2835:[Transgression in a Lie group and in a principal fibre bundle]. 2832: 2013: 2956: 2589: 1305:[Press communication for the centenary of Henri Cartan (2004)] 1093:, Paris, Hermann, 1967 (translated into English, Spanish and Russian). 965: 946: 746: 1087:, Paris, Hermann, 1967 (translated into English, Spanish and Russian). 1591:"Liste chronologique des cours Peccot avec les intitulés depuis 1899" 1567:[Decease of Henri Cartan, French mathematician] (in French). 218: 212: 2670:(1952b). "Espaces fibrés et groupes d'homotopie. II. Applications". 1783:
In Proc. Intern. Congress Mathematicians Edinburgh, pp. 33–52. 1958.
1932: 1796:[Henri Cartan – The members of the AcadĂ©mie des sciences]. 1068: 385: 2424:[Archives of the UEF-France and memories of federalism]. 1178:
Relations d'ordre en théorie des permutations des ensembles finis
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and from 1974 to 1985 was president of the French section of the
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Academic staff of the Lille University of Science and Technology
726:, which obtained 0.4% of votes and did not elect any candidate. 427: 3079: 1303:"CommuniquĂ© de presse pour le centenaire d'Henri Cartan (2004)" 2451:[The results of the European elections of June 1984]. 1959:"Cartan, Henri: certificate of election to the Royal Society" 1935:[History – National Academy Science, Letters, Arts]. 3655:
Members of the Royal Danish Academy of Sciences and Letters
886:. They introduced fundamental concepts, including those of 1228:
Correspondance entre Henri Cartan et AndrĂ© Weil, 1928–1991
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in 1926 and a doctorate in 1928. His PhD thesis, entitled
3062:(translations of above two articles from the SMF Gazette) 2206:"Henri Cartan | Honoris causa | Universidad de Zaragoza" 2014:"RelaciĂłn de acadĂ©micos desde el año 1847 hasta el 2003" 796:(the first African woman to gain a PhD in mathematics), 684:. For his humanitarian efforts, he received in 1989 the 1853:"Notices sur les travaux scientifiques de Henri Cartan" 1794:"Henri Cartan – Les Membres de l'AcadĂ©mie des sciences" 3665:
Foreign associates of the National Academy of Sciences
2449:"Les résultats des élections européennes de juin 1984" 2023:
Real Academia de Ciencias Exactas, FĂ­sicas y Naturales
1503:[Death of French mathematician Henri Cartan]. 519:
From 1974 until his death he had been a member of the
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Members of the Finnish Academy of Science and Letters
1933:"Storia – Accademia Nazionale Scienze, Lettere, Arti" 537:
Palermo National Academy of Science, Letters and Arts
2422:"Archives de l'UEF-France et mémoire du fédéralisme" 2274:
Biographical Memoirs of Fellows of the Royal Society
2067:[Deceased member – Prof. Dr. Henri Cartan]. 1763:
In Proc. Int. Cong. Math, vol. 1, pp. 152–164. 1950.
1530:"Henri Cartan, French Mathematician, Is Dead at 104" 3481: 3398: 3323: 3246: 3145: 3114: 2574:[On the iteration of Steenrod operations]. 2517:[Women struggle to break through bubbles]. 1230:. SociĂ©tĂ© mathĂ©matique de France. p. xiv+720. 1030:
Cohomologie des groupes, suite spectrale, faisceaux
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Annales Scientifiques de l'École Normale SupĂ©rieure
241: 229: 211: 201: 193: 153: 138: 128: 98: 88: 72: 42: 23: 3690:Presidents of the International Mathematical Union 3685:Foreign members of the Russian Academy of Sciences 2672:Comptes Rendus de l'AcadĂ©mie des Sciences, SĂ©rie I 2629:Comptes Rendus de l'AcadĂ©mie des Sciences, SĂ©rie I 1044:,(SĂ©minaire Henri Cartan Tome 10 no2. (1957–1958)) 1038:, (SĂ©minaire Henri Cartan Tome 7 no2. (1954–1955)) 388:with his family after his father's appointment at 2837:Colloque de topologie (Espaces fibrĂ©s). Bruxelles 2269:"Henri Paul Cartan. 8 July 1904 – 13 August 2008" 2065:"Verstorbene Mitglieder – Prof. Dr. Henri Cartan" 3675:Members of the Royal Swedish Academy of Sciences 2093:"Deceased Honorary Members (Alphabetical Order)" 1617:[The presidents of the SMF since 1873]. 1058:(with S. Eilenberg), Princeton Univ Press, 1956 686:Heinz R. Pagels Human Rights of Scientists Award 180:Heinz R. Pagels Human Rights of Scientists Award 2902:Correspondance entre Henri Cartan et AndrĂ© Weil 2513:Cassiau-Haurie, Christophe (20 February 2008). 3625:Institute for Advanced Study visiting scholars 3610:Academic staff of the University of Strasbourg 2016:[List of academics from 1847 to 2003] 1903:"London Mathematical Society Honorary Members" 1699:French National Centre for Scientific Research 1565:"DĂ©cĂšs d'Henri Cartan, mathĂ©maticien français" 1501:"DĂ©cĂšs du mathĂ©maticien français Henri Cartan" 1075:, 1948-1964; New York, W.A.Benjamin ed., 1967. 976:Sur les groupes de transformations analytiques 858:. Among his major contributions, he worked on 481:and from 1967 to 1970 he was president of the 446:, but in 1940 he returned to Paris to work at 3091: 1079:ThĂ©orie Ă©lĂ©mentaire des fonctions analytiques 1032:, (SĂ©minaire Henri Cartan Tome 3 (1950–1951)) 1026:, (SĂ©minaire Henri Cartan Tome 2 (1949–1950)) 313:; 8 July 1904 – 13 August 2008) was a French 8: 2997:on the occasion of Cartan's 100th birthday. 2572:"Sur l'itĂ©ration des opĂ©rations de Steenrod" 1991:Göttingen Academy of Sciences and Humanities 1369:Notices of the American Mathematical Society 1036:AlgĂšbres d'Eilenberg – Mac Lane et homotopie 854:Since the 50's he became more interested in 552:Göttingen Academy of Sciences and Humanities 533:Royal Danish Academy of Sciences and Letters 508:and a Plenary Speaker at the ICM in 1950 in 392:in 1909 and he attended secondary school at 2314:Bulletin of the London Mathematical Society 2179:Bulletin of the London Mathematical Society 1672:[Émile Picard Medal (Mathematics)] 403:In 1923 he started studying mathematics at 3098: 3084: 3076: 3006:"Trois quarts de siĂšcle avec Henri Cartan" 1270:Augereau, Jean-François (19 August 2008). 1071:(called "SĂ©minaires Cartan"), Secr. Math. 672:, imprisoned between 1975 and 1984 by the 560:United States National Academy of Sciences 477:. In 1950 he was elected president of the 20: 3680:Members of the Polish Academy of Sciences 3640:Members of the French Academy of Sciences 3615:Academic staff of the University of Paris 2882: 2813:Comptes Rendus de l'AcadĂ©mie des Sciences 2788:Comptes Rendus de l'AcadĂ©mie des Sciences 2765: 2325: 2286: 964: 823:, which later gave rise to the theory of 3058:European Mathematical Society Newsletter 3038:(in French) (100): 13–15, archived from 2515:"Les femmes peinent Ă  percer les bulles" 1328:"Noted French mathematician and teacher" 1069:SĂ©minaires de l'École normale supĂ©rieure 2867:, by Henri Cartan and Samuel Eilenberg" 2749:, by Henri Cartan and Samuel Eilenberg" 1461:MacTutor History of Mathematics archive 1405:MacTutor History of Mathematics Archive 1274:[Henri Cartan, mathematician]. 1262: 745:Cartan worked in several fields across 3015:(in French) (100): 7–8, archived from 2547:(in French). 1954–1955. Archived from 1670:"MĂ©daille Émile Picard (MathĂ©matique)" 1615:"Les prĂ©sidents de la SMF depuis 1873" 821:functions of several complex variables 729:In 1992 he gave a speech at the first 576:Finnish Academy of Science and Letters 317:who made substantial contributions to 3645:American Academy of Arts and Sciences 2341: 2339: 2337: 2300: 2298: 2259: 2257: 1881:American Academy of Arts and Sciences 1847: 1845: 1115:, Springer Verlag, Heidelberg, 1967. 525:American Academy of Arts and Sciences 502:International Congress of Mathematics 469:In 1932 Cartan was invited to give a 308: 7: 3660:Foreign members of the Royal Society 3029:"Souvenirs personnels sur H. Cartan" 2991:Biographical sketch and bibliography 2810:[Filters and ultrafilters]. 1480: 1478: 1422: 1420: 1418: 1389: 1387: 1385: 1383: 1354: 1352: 1350: 1297: 1295: 1203:. Courier Corporation. p. 228. 324:He was the son of the mathematician 3620:Wolf Prize in Mathematics laureates 1157:Cartan, Henri (23 September 2015). 1138:Cartan, Henri (23 September 2015). 831:. Motivated by the solution to the 3580:21st-century French mathematicians 3575:20th-century French mathematicians 2359:"Cartan, Europe, and Human Rights" 2310:"Obituary: Henri Cartan 1904-2008" 901:Among his other contributions, in 776:in Paris, which deeply influenced 724:Liste pour les États-Unis d'Europe 442:the university staff was moved to 372:, and the son-in-law of physicist 14: 2577:Commentarii Mathematici Helvetici 2236:[Decree of 13 May 1996]. 1730:. 9 December 2018. Archived from 1528:Chang, Kenneth (25 August 2008). 638:Commandeur des Palmes AcadĂ©miques 580:Royal Swedish Academy of Sciences 556:Spanish Royal Academy of Sciences 500:He was an invited Speaker at the 3528: 3051:"100th Birthday of Henri Cartan" 2942: 2913:. pp. 58–60. Archived from 2543:[Seminar Henri Cartan]. 2541:"SĂ©minaire Henri Cartan, Tome 7" 2492:International Mathematical Union 1988:[Member: Henri Cartan]. 1648:International Mathematical Union 1107:— Collected Works, 3 vols., ed. 768:He was a founding member of the 731:European Congress of Mathematics 636:The French government named him 31: 16:French mathematician (1904–2008) 3630:École Normale SupĂ©rieure alumni 2884:10.1090/S0002-9904-1956-10082-7 2767:10.1090/S0002-9904-1956-10082-7 2120:"ĐšĐ°Ń€Ń‚Đ°Đœ А.. – ĐžĐ±Ń‰Đ°Ń ĐžĐœŃ„ĐŸŃ€ĐŒĐ°Ń†ĐžŃ" 1456:"Henri Cartan – Times obituary" 1326:Weil, Martin (31 August 2008). 1048:Quelques questions de topologie 652:Political and social activities 646:Commandeur de l'Ordre du MĂ©rite 642:Officier de la LĂ©gion d'honneur 483:International Mathematics Union 2995:SociĂ©tĂ© MathĂ©matique de France 2453:Courrier Hebdomadaire du CRISP 1620:SociĂ©tĂ© MathĂ©matique de France 870:, he introduced the notion of 479:SociĂ©tĂ© mathĂ©matique de France 1: 3070:Historical Archives of the EU 3027:Samuel, Pierre (April 2004), 2977:American Mathematical Society 2785:[Theory of filters]. 2396:[The French friend]. 2376:American Mathematical Society 1489:Mathematics Genealogy Project 1428:"Henri Cartan: mathematician" 1361:"Interview with Henri Cartan" 1272:"Henri Cartan, mathĂ©maticien" 1159:Oeuvres - Collected Works III 1119:Cartan, Henri (6 July 2015). 905:he introduced the notions of 894:, and what is now called the 716:Union of European Federalists 710:Cartan supported the idea of 438:from 1931 to 1939. After the 434:from 1929 to 1931 and at the 332:, oldest brother of composer 3600:French mathematical analysts 2898:FresĂĄn, Javier (June 2012). 2428:(in French). 31 October 2015 2043:National Academy of Sciences 1827:Institute for Advanced Study 1226:Audin, MichĂšle, ed. (2011). 1220:Cours de calcul diffĂ©rentiel 1140:Oeuvres - Collected Works II 690:New York Academy of Sciences 3650:London Mathematical Society 3060:(53): 20–21, September 2004 2070:Bavarian Academy of Science 1911:London Mathematical Society 1509:(in French). 18 August 2008 1121:Oeuvres - Collected Works I 1024:Espaces fibrĂ©s et homotopie 896:Cartan–Eilenberg resolution 588:Russian Academy of Sciences 564:Bavarian Academy of Science 529:London Mathematical Society 111:Cartan–Eilenberg resolution 3706: 3036:Gazette des MathĂ©maticiens 3013:Gazette des MathĂ©maticiens 2717:Princeton University Press 1986:"Mitglieder: Henri Cartan" 1702:(in French). December 1976 584:Polish Academy of Sciences 521:French Academy of Sciences 430:from 1928 to 1929, at the 328:, nephew of mathematician 3524: 3108:Wolf Prize in Mathematics 3004:Cerf, Jean (April 2004), 2808:"Filtres et ultrafiltres" 2394:"Der französische Freund" 1643:"IMU Executive Committee" 1315:(in French). 8 June 2004. 933:is also named after him. 849:Cartan's theorems A and B 757:, focussing primarily on 722:he was the leader of the 440:German invasion of France 295: 186: 103:Cartan's theorems A and B 30: 2487:"JosĂ©phine Guidy-Wandja" 2447:Mabille, Xavier (1984). 2347:Bourguignon, Jean-Pierre 2172:Griffith, J. G. (1981). 1779:28 December 2013 at the 1759:28 December 2013 at the 1410:University of St Andrews 1186:, Paris, Hermann, 1975. 868:Eilenberg–MacLane spaces 812:, Jean-Pierre Serre and 680:, imprisoned during the 568:Royal Academy of Belgium 510:Cambridge, Massachusetts 436:University of Strasbourg 405:École Normale SupĂ©rieure 93:École Normale SupĂ©rieure 2234:"DĂ©cret du 13 mai 1996" 2211:Universidad de Zaragoza 1964:Royal Society of London 1359:Jackson, Allyn (1999). 1222:, Paris, Hermann, 1977. 720:1984 European elections 548:Royal Society of London 3535:Mathematics portal 3258:Ilya Piatetski-Shapiro 2831:Cartan, Henri (1950). 2806:Cartan, Henri (1937). 2781:Cartan, Henri (1937). 2754:Bull. Amer. Math. Soc. 2570:Cartan, Henri (1955). 2465:10.3917/cris.1043.0001 2288:10.1098/rsbm.2009.0005 2174:"Eulogy: Henri Cartan" 1197:Cartan, Henri (1992). 1091:Formes diffĂ©rentielles 999:Cartan, Henri (1940). 974:Cartan, Henri (1935). 945:Cartan, Henri (1928). 931:equivariant cohomology 878:". His 1956 book with 847:two powerful results, 794:JosĂ©phine Guidy Wandja 786:Alexander Grothendieck 682:Moroccan Years of Lead 674:Uruguayan dictatorship 3468:Jean-François Le Gall 2904:ed. by MichĂšle Audin" 2871:Bull. Amer. Math. Soc 2783:"ThĂ©orie des filtres" 2351:Hirzebruch, Friedrich 2192:10.1112/blms/13.3.263 1799:Academie des Sciences 1679:AcadĂ©mie des sciences 1312:Academie des Sciences 1042:Fonctions automorphes 937:Selected publications 860:cohomology operations 485:. He was awarded the 3385:Phillip A. Griffiths 3223:Friedrich Hirzebruch 2951:at Wikimedia Commons 2839:(in French): 57–71. 1861:Academie de Sciences 1396:Robertson, Edmund F. 735:previously separated 664:, imprisoned by the 452:Paris-Sud University 415:, was supervised by 37:Henri Cartan in 1968 3565:French centenarians 3458:Alexander Beilinson 3045:on 9 September 2008 3022:on 9 September 2008 2865:Homological algebra 2747:Homological algebra 2712:Homological Algebra 2327:10.1112/blms/bdt079 2026:(in Spanish). 2003. 1876:"Henri Paul Cartan" 1394:O'Connor, John J.; 1085:Calcul diffĂ©rentiel 1055:Homological Algebra 763:homological algebra 712:European Federalism 662:Anatoly Shcharansky 595:Honorary Doctorates 448:UniversitĂ© de Paris 432:University of Lille 206:University of Paris 3635:LycĂ©e Hoche alumni 3489:Simon K. Donaldson 3416:Michael Aschbacher 3375:Hillel Furstenberg 2859:Mac Lane, Saunders 2741:Mac Lane, Saunders 2678:. Paris: 393–395. 2668:Serre, Jean-Pierre 2636:. Paris: 288–290. 2624:Serre, Jean-Pierre 2590:10.1007/BF02564270 2367:Notices of the AMS 2306:Serre, Jean-Pierre 2265:Serre, Jean-Pierre 2151:MĂŒnster University 1535:The New York Times 1453:available also at 1180:, NeuchĂątel, 1973. 1097:Differential Forms 966:10.24033/asens.786 856:algebraic topology 759:algebraic topology 487:Émile Picard Medal 465:Honours and awards 361:and mathematician 319:algebraic topology 246:Jean-Paul BenzĂ©cri 164:Émile Picard Medal 65:Meurthe-et-Moselle 3542: 3541: 3505:Ingrid Daubechies 3462:Vladimir Drinfeld 3452:Charles Fefferman 3335:Jean-Pierre Serre 3183:Shiing-Shen Chern 3157:Andrey Kolmogorov 3106:Laureates of the 2947:Media related to 2707:Eilenberg, Samuel 2355:Remmert, Reinhold 2242:(in French). 1996 2098:The Japan Academy 2038:"Henri P. Cartan" 1830:. 9 December 2019 1600:CollĂšge de France 1333:Los Angeles Times 1237:978-2-85629-314-0 1168:978-3-662-46911-8 1149:978-3-662-46908-8 1130:978-3-662-46872-2 1113:Jean-Pierre Serre 917:he developed the 888:projective module 829:analytic geometry 825:complex varieties 810:Jean-Louis Koszul 778:Jean-Pierre Serre 737:parts of Europe. 670:Jose Luis Massera 623:Oxford University 493:in 1976, and the 475:CollĂšge de France 422:Cartan taught at 302:Henri Paul Cartan 299: 298: 286:Jean-Pierre Serre 282:Jean-Pierre Ramis 278:Jean-Louis Koszul 242:Doctoral students 188:Scientific career 115:Projective module 47:Henri Paul Cartan 3697: 3595:Complex analysts 3585:Nicolas Bourbaki 3570:Men centenarians 3533: 3532: 3493:Yakov Eliashberg 3389:David B. Mumford 3361:Grigory Margulis 3290:Robert Langlands 3268:John G. Thompson 3264:Lennart Carleson 3233:Alberto CalderĂłn 3203:Samuel Eilenberg 3193:Kunihiko Kodaira 3100: 3093: 3086: 3077: 3061: 3055: 3046: 3044: 3033: 3023: 3021: 3010: 3000: 2987: 2983: 2946: 2930: 2929: 2927: 2925: 2919: 2908: 2895: 2889: 2888: 2886: 2855: 2849: 2848: 2828: 2822: 2821: 2803: 2797: 2796: 2778: 2772: 2771: 2769: 2737: 2731: 2730: 2702: 2696: 2695: 2660: 2654: 2653: 2616: 2610: 2609: 2567: 2561: 2560: 2558: 2556: 2551:on 25 April 2022 2537: 2531: 2530: 2528: 2526: 2510: 2504: 2503: 2501: 2499: 2483: 2477: 2476: 2444: 2438: 2437: 2435: 2433: 2418: 2412: 2411: 2409: 2407: 2386: 2380: 2379: 2363: 2343: 2332: 2331: 2329: 2302: 2293: 2292: 2290: 2261: 2252: 2251: 2249: 2247: 2230: 2224: 2223: 2221: 2219: 2202: 2196: 2195: 2169: 2163: 2162: 2160: 2158: 2142: 2136: 2135: 2133: 2131: 2116: 2110: 2109: 2107: 2105: 2089: 2083: 2082: 2080: 2078: 2061: 2055: 2054: 2052: 2050: 2034: 2028: 2027: 2019: 2010: 2004: 2003: 2001: 1999: 1982: 1976: 1975: 1973: 1971: 1955: 1949: 1948: 1946: 1944: 1929: 1923: 1922: 1920: 1918: 1907: 1899: 1893: 1892: 1890: 1888: 1872: 1866: 1865: 1857: 1849: 1840: 1839: 1837: 1835: 1818: 1812: 1811: 1809: 1807: 1790: 1784: 1770: 1764: 1750: 1744: 1743: 1741: 1739: 1718: 1712: 1711: 1709: 1707: 1690: 1684: 1683: 1675: 1666: 1660: 1659: 1657: 1655: 1639: 1633: 1632: 1630: 1628: 1611: 1605: 1604: 1596: 1587: 1581: 1580: 1578: 1576: 1571:. 18 August 2008 1561: 1555: 1554: 1552: 1550: 1525: 1519: 1518: 1516: 1514: 1497: 1491: 1482: 1473: 1472: 1470: 1468: 1452: 1450: 1448: 1424: 1413: 1412: 1391: 1378: 1377: 1365: 1356: 1345: 1344: 1342: 1340: 1323: 1317: 1316: 1308: 1299: 1290: 1289: 1287: 1285: 1267: 1249: 1214: 1172: 1153: 1134: 1109:Reinhold Remmert 1064:978-0-69104991-5 1020: 995: 970: 968: 915:potential theory 903:general topology 880:Samuel Eilenberg 872:Steenrod algebra 841:coherent sheaves 837:sheaf cohomology 545: 444:Clermont Ferrand 371: 360: 346: 312: 310:[kaʁtɑ̃] 307: 266:Pierre Dolbeault 231:Doctoral advisor 225: 119:Steenrod algebra 79: 56: 54: 35: 21: 3705: 3704: 3700: 3699: 3698: 3696: 3695: 3694: 3545: 3544: 3543: 3538: 3527: 3520: 3477: 3442:James G. Arthur 3420:Luis Caffarelli 3406:Dennis Sullivan 3394: 3341:Vladimir Arnold 3319: 3254:Ennio De Giorgi 3242: 3173:Hassler Whitney 3141: 3110: 3104: 3053: 3049: 3042: 3031: 3026: 3019: 3008: 3003: 2998: 2985: 2981: 2975:Notices of the 2967:Cartier, Pierre 2939: 2934: 2933: 2923: 2921: 2917: 2906: 2897: 2896: 2892: 2857: 2856: 2852: 2830: 2829: 2825: 2805: 2804: 2800: 2780: 2779: 2775: 2739: 2738: 2734: 2727: 2705:Cartan, Henri; 2704: 2703: 2699: 2662: 2661: 2657: 2618: 2617: 2613: 2569: 2568: 2564: 2554: 2552: 2539: 2538: 2534: 2524: 2522: 2512: 2511: 2507: 2497: 2495: 2485: 2484: 2480: 2446: 2445: 2441: 2431: 2429: 2420: 2419: 2415: 2405: 2403: 2390:Ziegler, GĂŒnter 2388: 2387: 2383: 2361: 2345: 2344: 2335: 2304: 2303: 2296: 2263: 2262: 2255: 2245: 2243: 2232: 2231: 2227: 2217: 2215: 2204: 2203: 2199: 2171: 2170: 2166: 2156: 2154: 2144: 2143: 2139: 2129: 2127: 2118: 2117: 2113: 2103: 2101: 2091: 2090: 2086: 2076: 2074: 2063: 2062: 2058: 2048: 2046: 2036: 2035: 2031: 2017: 2012: 2011: 2007: 1997: 1995: 1984: 1983: 1979: 1969: 1967: 1957: 1956: 1952: 1942: 1940: 1931: 1930: 1926: 1916: 1914: 1905: 1901: 1900: 1896: 1886: 1884: 1874: 1873: 1869: 1855: 1851: 1850: 1843: 1833: 1831: 1820: 1819: 1815: 1805: 1803: 1792: 1791: 1787: 1781:Wayback Machine 1772:Cartan, Henri. 1771: 1767: 1761:Wayback Machine 1752:Cartan, Henri. 1751: 1747: 1737: 1735: 1727:Wolf Foundation 1720: 1719: 1715: 1705: 1703: 1692: 1691: 1687: 1673: 1668: 1667: 1663: 1653: 1651: 1641: 1640: 1636: 1626: 1624: 1613: 1612: 1608: 1594: 1589: 1588: 1584: 1574: 1572: 1563: 1562: 1558: 1548: 1546: 1527: 1526: 1522: 1512: 1510: 1499: 1498: 1494: 1483: 1476: 1466: 1464: 1454: 1446: 1444: 1426: 1425: 1416: 1393: 1392: 1381: 1363: 1358: 1357: 1348: 1338: 1336: 1325: 1324: 1320: 1306: 1301: 1300: 1293: 1283: 1281: 1269: 1268: 1264: 1259: 1254: 1253: 1238: 1225: 1211: 1196: 1169: 1156: 1150: 1137: 1131: 1118: 998: 973: 944: 939: 884:category theory 876:homotopy groups 835:, he worked on 833:Cousin problems 743: 697:Heinrich Behnke 658:Leonid Plyushch 654: 593:He was awarded 539: 512:and in 1958 in 491:CNRS Gold Medal 467: 407:, receiving an 382: 365: 354: 336: 305: 288: 284: 280: 276: 272: 268: 264: 260: 256: 252: 248: 223: 177: 172: 169:CNRS Gold Medal 167: 161: 158:Peccot Lectures 149:(father-in-law) 121: 117: 113: 109: 105: 89:Alma mater 84: 81: 80:(aged 104) 77: 68: 58: 52: 50: 49: 48: 38: 26: 17: 12: 11: 5: 3703: 3701: 3693: 3692: 3687: 3682: 3677: 3672: 3667: 3662: 3657: 3652: 3647: 3642: 3637: 3632: 3627: 3622: 3617: 3612: 3607: 3602: 3597: 3592: 3587: 3582: 3577: 3572: 3567: 3562: 3557: 3547: 3546: 3540: 3539: 3525: 3522: 3521: 3519: 3518: 3508: 3502: 3499:George Lusztig 3496: 3485: 3483: 3479: 3478: 3476: 3475: 3472:Gregory Lawler 3465: 3455: 3448:Richard Schoen 3445: 3439: 3433: 3423: 3413: 3410:Shing-Tung Yau 3402: 3400: 3396: 3395: 3393: 3392: 3381:Pierre Deligne 3378: 3368: 3365:Sergei Novikov 3358: 3348: 3345:Saharon Shelah 3338: 3327: 3325: 3321: 3320: 3318: 3317: 3314:Elias M. Stein 3307: 3304:Yakov G. Sinai 3297: 3287: 3281: 3274:Mikhail Gromov 3271: 3261: 3250: 3248: 3244: 3243: 3241: 3240: 3230: 3227:Lars Hörmander 3220: 3210: 3200: 3190: 3180: 3170: 3160: 3149: 3147: 3143: 3142: 3140: 3139: 3129: 3126:Carl L. Siegel 3122:Israel Gelfand 3118: 3116: 3112: 3111: 3105: 3103: 3102: 3095: 3088: 3080: 3074: 3073: 3063: 3047: 3024: 3001: 2988: 2980:, Sept. 2010, 2965:Illusie, Luc; 2963: 2953: 2952: 2938: 2937:External links 2935: 2932: 2931: 2920:on 19 May 2020 2911:EMS Newsletter 2890: 2877:(6): 615–624. 2850: 2823: 2798: 2773: 2760:(6): 615–624. 2732: 2725: 2697: 2655: 2611: 2562: 2532: 2505: 2478: 2439: 2413: 2381: 2333: 2320:(1): 211–216. 2294: 2253: 2225: 2197: 2186:(3): 263–264. 2164: 2137: 2111: 2084: 2056: 2029: 2005: 1977: 1950: 1924: 1894: 1867: 1841: 1822:"Henri Cartan" 1813: 1785: 1765: 1745: 1734:on 16 May 2022 1722:"Henri Cartan" 1713: 1694:"Henri Cartan" 1685: 1661: 1634: 1606: 1582: 1556: 1520: 1492: 1474: 1414: 1400:"Henri Cartan" 1379: 1346: 1318: 1291: 1261: 1260: 1258: 1255: 1252: 1251: 1236: 1223: 1217: 1216: 1215: 1209: 1181: 1175: 1174: 1173: 1167: 1154: 1148: 1135: 1129: 1102: 1101: 1100: 1088: 1082: 1076: 1066: 1051: 1045: 1039: 1033: 1027: 1021: 996: 971: 941: 940: 938: 935: 923:Cartan's lemma 892:weak dimension 802:Roger Godement 770:Bourbaki group 742: 739: 703:. Right after 653: 650: 466: 463: 424:LycĂ©e Malherbe 381: 378: 297: 296: 293: 292: 270:Roger Godement 250:Pierre Cartier 243: 239: 238: 233: 227: 226: 215: 209: 208: 203: 199: 198: 195: 191: 190: 184: 183: 155: 151: 150: 140: 136: 135: 130: 126: 125: 123:Weak dimension 107:Cartan's lemma 100: 99:Known for 96: 95: 90: 86: 85: 82: 76:13 August 2008 74: 70: 69: 59: 46: 44: 40: 39: 36: 28: 27: 24: 15: 13: 10: 9: 6: 4: 3: 2: 3702: 3691: 3688: 3686: 3683: 3681: 3678: 3676: 3673: 3671: 3668: 3666: 3663: 3661: 3658: 3656: 3653: 3651: 3648: 3646: 3643: 3641: 3638: 3636: 3633: 3631: 3628: 3626: 3623: 3621: 3618: 3616: 3613: 3611: 3608: 3606: 3603: 3601: 3598: 3596: 3593: 3591: 3588: 3586: 3583: 3581: 3578: 3576: 3573: 3571: 3568: 3566: 3563: 3561: 3558: 3556: 3553: 3552: 3550: 3537: 3536: 3531: 3523: 3516: 3512: 3509: 3506: 3503: 3500: 3497: 3494: 3490: 3487: 3486: 3484: 3480: 3473: 3469: 3466: 3463: 3459: 3456: 3453: 3449: 3446: 3443: 3440: 3437: 3434: 3431: 3430:Michael Artin 3427: 3426:George Mostow 3424: 3421: 3417: 3414: 3411: 3407: 3404: 3403: 3401: 3397: 3390: 3386: 3382: 3379: 3376: 3372: 3371:Stephen Smale 3369: 3366: 3362: 3359: 3356: 3352: 3349: 3346: 3342: 3339: 3336: 3332: 3329: 3328: 3326: 3322: 3315: 3311: 3310:LĂĄszlĂł LovĂĄsz 3308: 3305: 3301: 3300:Joseph Keller 3298: 3295: 3291: 3288: 3285: 3282: 3279: 3275: 3272: 3269: 3265: 3262: 3259: 3255: 3252: 3251: 3249: 3245: 3238: 3234: 3231: 3228: 3224: 3221: 3218: 3214: 3211: 3208: 3204: 3201: 3198: 3194: 3191: 3188: 3184: 3181: 3178: 3174: 3171: 3168: 3167:Oscar Zariski 3164: 3161: 3158: 3154: 3151: 3150: 3148: 3144: 3137: 3133: 3130: 3127: 3123: 3120: 3119: 3117: 3113: 3109: 3101: 3096: 3094: 3089: 3087: 3082: 3081: 3078: 3071: 3067: 3064: 3059: 3052: 3048: 3041: 3037: 3030: 3025: 3018: 3014: 3007: 3002: 2996: 2992: 2989: 2979: 2978: 2972: 2968: 2964: 2962: 2958: 2955: 2954: 2950: 2945: 2941: 2940: 2936: 2916: 2912: 2905: 2903: 2894: 2891: 2885: 2880: 2876: 2872: 2868: 2866: 2860: 2854: 2851: 2846: 2842: 2838: 2834: 2827: 2824: 2819: 2816:(in French). 2815: 2814: 2809: 2802: 2799: 2794: 2791:(in French). 2790: 2789: 2784: 2777: 2774: 2768: 2763: 2759: 2756: 2755: 2750: 2748: 2742: 2736: 2733: 2728: 2722: 2718: 2714: 2713: 2708: 2701: 2698: 2693: 2689: 2685: 2681: 2677: 2673: 2669: 2665: 2664:Cartan, Henri 2659: 2656: 2651: 2647: 2643: 2639: 2635: 2631: 2630: 2625: 2621: 2620:Cartan, Henri 2615: 2612: 2607: 2603: 2599: 2595: 2591: 2587: 2583: 2580:(in French). 2579: 2578: 2573: 2566: 2563: 2550: 2546: 2542: 2536: 2533: 2520: 2516: 2509: 2506: 2494: 2493: 2488: 2482: 2479: 2474: 2470: 2466: 2462: 2458: 2455:(in French). 2454: 2450: 2443: 2440: 2427: 2423: 2417: 2414: 2401: 2400: 2395: 2391: 2385: 2382: 2377: 2373: 2369: 2368: 2360: 2356: 2352: 2348: 2342: 2340: 2338: 2334: 2328: 2323: 2319: 2315: 2311: 2307: 2301: 2299: 2295: 2289: 2284: 2280: 2276: 2275: 2270: 2266: 2260: 2258: 2254: 2241: 2240: 2235: 2229: 2226: 2213: 2212: 2207: 2201: 2198: 2193: 2189: 2185: 2181: 2180: 2175: 2168: 2165: 2153: 2152: 2147: 2141: 2138: 2125: 2121: 2115: 2112: 2100: 2099: 2094: 2088: 2085: 2072: 2071: 2066: 2060: 2057: 2045: 2044: 2039: 2033: 2030: 2025: 2024: 2015: 2009: 2006: 1993: 1992: 1987: 1981: 1978: 1966: 1965: 1960: 1954: 1951: 1938: 1934: 1928: 1925: 1913: 1912: 1904: 1898: 1895: 1883: 1882: 1877: 1871: 1868: 1863: 1862: 1854: 1848: 1846: 1842: 1829: 1828: 1823: 1817: 1814: 1801: 1800: 1795: 1789: 1786: 1782: 1778: 1775: 1769: 1766: 1762: 1758: 1755: 1749: 1746: 1733: 1729: 1728: 1723: 1717: 1714: 1701: 1700: 1695: 1689: 1686: 1681: 1680: 1671: 1665: 1662: 1650: 1649: 1644: 1638: 1635: 1622: 1621: 1616: 1610: 1607: 1602: 1601: 1592: 1586: 1583: 1570: 1566: 1560: 1557: 1545: 1541: 1537: 1536: 1531: 1524: 1521: 1508: 1507: 1502: 1496: 1493: 1490: 1486: 1481: 1479: 1475: 1463: 1462: 1457: 1443: 1439: 1435: 1434: 1429: 1423: 1421: 1419: 1415: 1411: 1407: 1406: 1401: 1397: 1390: 1388: 1386: 1384: 1380: 1376:(7): 782–788. 1375: 1371: 1370: 1362: 1355: 1353: 1351: 1347: 1335: 1334: 1329: 1322: 1319: 1314: 1313: 1304: 1298: 1296: 1292: 1279: 1278: 1273: 1266: 1263: 1256: 1247: 1243: 1239: 1233: 1229: 1224: 1221: 1218: 1212: 1210:9780486318677 1206: 1202: 1201: 1195: 1194: 1193: 1192:9782705652159 1189: 1185: 1182: 1179: 1176: 1170: 1164: 1160: 1155: 1151: 1145: 1141: 1136: 1132: 1126: 1122: 1117: 1116: 1114: 1110: 1106: 1103: 1098: 1095: 1094: 1092: 1089: 1086: 1083: 1080: 1077: 1074: 1070: 1067: 1065: 1061: 1057: 1056: 1052: 1049: 1046: 1043: 1040: 1037: 1034: 1031: 1028: 1025: 1022: 1018: 1014: 1010: 1006: 1002: 997: 993: 989: 985: 981: 977: 972: 967: 962: 958: 954: 953: 948: 943: 942: 936: 934: 932: 928: 924: 920: 919:fine topology 916: 912: 908: 904: 899: 897: 893: 889: 885: 881: 877: 873: 869: 865: 861: 857: 852: 850: 846: 842: 838: 834: 830: 826: 822: 817: 815: 811: 807: 803: 799: 798:Adrien Douady 795: 791: 787: 783: 779: 775: 771: 766: 764: 760: 756: 752: 748: 740: 738: 736: 732: 727: 725: 721: 717: 713: 708: 706: 702: 701:Peter Thullen 698: 693: 691: 687: 683: 679: 675: 671: 667: 663: 659: 651: 649: 647: 643: 639: 634: 632: 628: 624: 620: 616: 612: 608: 604: 600: 596: 591: 589: 585: 581: 577: 573: 572:Japan Academy 569: 565: 561: 557: 553: 549: 543: 538: 534: 530: 526: 522: 517: 515: 511: 507: 503: 498: 496: 492: 489:in 1959, the 488: 484: 480: 476: 472: 464: 462: 460: 455: 453: 449: 445: 441: 437: 433: 429: 425: 420: 418: 414: 410: 406: 401: 399: 395: 391: 387: 379: 377: 375: 369: 364: 363:HĂ©lĂšne Cartan 358: 353: 350: 344: 340: 335: 331: 327: 322: 320: 316: 315:mathematician 311: 303: 294: 291: 287: 283: 279: 275: 271: 267: 263: 262:Adrien Douady 259: 255: 251: 247: 244: 240: 237: 234: 232: 228: 221: 220: 216: 214: 210: 207: 204: 200: 196: 192: 189: 185: 181: 178: 175: 170: 165: 159: 156: 152: 148: 144: 141: 137: 134: 131: 127: 124: 120: 116: 112: 108: 104: 101: 97: 94: 91: 87: 83:Paris, France 75: 71: 66: 62: 45: 41: 34: 29: 22: 19: 3526: 3436:Peter Sarnak 3294:Andrew Wiles 3284:JĂŒrgen Moser 3278:Jacques Tits 3207:Atle Selberg 3163:Lars Ahlfors 3153:Henri Cartan 3152: 3057: 3040:the original 3035: 3017:the original 3012: 2974: 2957:Henri Cartan 2949:Henri Cartan 2922:. 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Springer. 1120: 1104: 1099:, Dover 2006 1090: 1084: 1078: 1054: 1047: 1041: 1035: 1029: 1023: 1000: 975: 956: 950: 927:Cartan model 900: 853: 818: 782:Armand Borel 767: 744: 728: 723: 709: 705:World War II 694: 678:Sion Assidon 666:Soviet Union 655: 644:in 1965 and 635: 592: 518: 499: 471:Cours Peccot 468: 456: 421: 412: 402: 383: 374:Pierre Weiss 352:Louis Cartan 323: 301: 300: 258:Jacques Deny 217: 202:Institutions 187: 162: 147:Pierre Weiss 78:(2008-08-13) 25:Henri Cartan 18: 3590:Topologists 3560:2008 deaths 3555:1904 births 3237:John Milnor 3072:in Florence 2999:(in French) 2521:(in French) 2402:(in German) 2073:(in German) 1994:(in German) 1802:(in French) 1623:(in French) 1280:(in French) 959:: 255–346. 921:and proved 911:ultrafilter 806:Max Karoubi 790:Frank Adams 629:(1985) and 586:(1985) and 540: [ 504:in 1932 in 417:Paul Montel 394:LycĂ©e Hoche 366: [ 355: [ 337: [ 334:Jean Cartan 330:Anna Cartan 326:Élie Cartan 274:Max Karoubi 236:Paul Montel 197:Mathematics 143:Anna Cartan 133:Élie Cartan 57:8 July 1904 3549:Categories 3515:Adi Shamir 3351:Mikio Sato 3331:Raoul Bott 3213:Kiyosi ItĂŽ 3187:Paul ErdƑs 3177:Mark Krein 3136:AndrĂ© Weil 3132:Jean Leray 2845:0045.30701 2820:: 777–779. 2795:: 595–598. 2726:0691049912 2545:numdam.org 2378:: 972–975. 2239:LĂ©gifrance 1017:0010.39502 992:0010.39502 603:ETH ZĂŒrich 495:Wolf Prize 459:Die, Drome 409:agrĂ©gation 398:Versailles 174:Wolf Prize 53:1904-07-08 3511:Noga Alon 3377:(2006/07) 3357:(2002/03) 3355:John Tate 3306:(1996/97) 3296:(1995/96) 3286:(1994/95) 3217:Peter Lax 3199:(1984/85) 3197:Hans Lewy 3189:(1983/84) 2900:"Review: 2863:"Review: 2745:"Review: 2684:0764-4442 2642:0764-4442 2606:124558011 2598:0010-2571 2473:0008-9664 2281:: 37–44. 1569:France 24 1544:0362-4331 1442:0140-0460 1433:The Times 1246:1629-4939 1009:0365-6861 984:0365-6861 814:RenĂ© Thom 718:. 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Index


Nancy
Meurthe-et-Moselle
École Normale SupĂ©rieure
Cartan's theorems A and B
Cartan's lemma
Cartan–Eilenberg resolution
Projective module
Steenrod algebra
Weak dimension
Élie Cartan
Anna Cartan
Pierre Weiss
Peccot Lectures
Émile Picard Medal
CNRS Gold Medal
Wolf Prize
Heinz R. Pagels Human Rights of Scientists Award
University of Paris
Thesis
Sur les systÚmes de fonctions holomorphes à variétés linéaires lacunaires et leurs applications
Doctoral advisor
Paul Montel
Jean-Paul Benzécri
Pierre Cartier
Jean Cerf
Jacques Deny
Adrien Douady
Pierre Dolbeault
Roger Godement

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