305:. From time to time, his health would prevent him from working or studying. The bad spells became more frequent, immobilizing him for long periods of time. Over time, he had developed a kind of psychological disorder that made him unable to undertake work that required long periods of concentration. At times this would make his ability to research mathematics impossible. Between 1909 and 1914 this problem continually plagued him and his teaching duties became more and more difficult. In 1914 he was given a leave of absence from the University of Dijon due to his poor health, after which he spent the rest of his life in
492:
260:. He did better than all the other students on the writing portion of the test but he did not pass the oral examination due to a lack of explanation and clarity in his lesson. After retaking the agrégation and passing, he was assigned to teach at the secondary school (lycée) in
38:
272:
for his doctorate. He presented his thesis on March 24, 1899 and was awarded his doctorate. He continued to teach in secondary schools around France but was not happy teaching lower level mathematics. In 1901 Baire was appointed to the
301:
Since he was young, Baire always had "delicate" health. He had developed problems with his esophagus before he attended school and he would occasionally experience severe attacks of
546:
345:. He then used these topics to prove the theorems of those he studied with and further the understanding of continuity. Among Baire's other most important works are
556:
313:. He retired from Dijon in 1925 and spent his last years living in multiple hotels that he could afford with his meager pension. He committed suicide in 1932.
281:". In 1904 he was awarded a Peccot Foundation Fellowship to spend a semester in a university and develop his skills as a professor. Baire chose to attend the
541:
536:
240:
The son of a tailor, Baire was one of three children from a poor working-class family in Paris. He started his studies when he entered the
474:
561:
244:
through the use of a scholarship. In 1890, Baire completed his advanced classes and entered the special mathematics section of the
256:. He decided to attend the École Normale Supérieure in 1891. After receiving his three-year degree, Baire proceeded toward his
531:
249:
182:
97:
506:
278:
274:
228:, which helped to generalize and prove future theorems. His theory was published originally in his dissertation
362:
496:
338:
290:
286:
253:
225:
186:
107:
20:
293:. In 1907 he was promoted to Professor of Analysis at Dijon where he continued his research in analysis.
417:
551:
526:
521:
282:
445:
321:
Baire's skill in mathematical analysis led him to study with other major names in analysis such as
269:
265:
131:
470:
466:
342:
245:
135:
386:
349:(Theory of Irrational Numbers, Limits, and Continuity) published in 1905 and both volumes of
289:. He was appointed to a university post in 1905 when he joined the Faculty of Science at the
241:
216:
152:
326:
145:
119:
111:
515:
322:
257:
221:
196:
115:
310:
302:
172:
127:
76:
334:
261:
37:
502:
123:
248:. While there, he prepared for and passed the entrance examination for the
491:
306:
333:("On the Functions of Real Variables"), Baire studied a combination of
448:. (2010). Encyclopædia Britannica on-line. Retrieved September 9, 2010
87:
353:(Lessons on the General Theory of Analysis) published in 1907–08.
58:
347:
Théorie des nombres irrationnels, des limites et de la continuité
192:
178:
168:
141:
103:
93:
83:
65:
44:
28:
441:
439:
232:("On the Functions of Real Variables") in 1899.
458:
456:
454:
264:. While there, Baire researched the concept of
351:Leçons sur les théories générales de l’analyse
220:; 21 January 1874 – 5 July 1932) was a French
8:
469:. Princeton, NJ: Princeton University Press
19:"Baire" redirects here. For other uses, see
380:
378:
36:
25:
547:Members of the French Academy of Sciences
374:
230:Sur les fonctions de variables réelles
412:
410:
408:
337:and analysis topics to arrive at the
331:Sur les fonctions de variable réelles
215:
7:
285:where he lectured on the subject of
462:Dunham, William. (2005). Baire. In
542:20th-century French mathematicians
537:19th-century French mathematicians
14:
490:
385:J J O'Connor and E F Robertson.
16:French mathematician (1874–1932)
557:École Normale Supérieure alumni
1:
507:Mathematics Genealogy Project
317:Contributions to mathematics
393:. University of St. Andrews
578:
309:, Switzerland, and around
18:
275:University of Montpellier
202:
161:
35:
363:Baire space (set theory)
341:and the definition of a
250:École Normale Supérieure
183:École Normale Supérieure
98:École Normale Supérieure
339:Baire category theorem
329:. In his dissertation
226:Baire category theorem
108:Baire category theorem
21:Baire (disambiguation)
562:Lycée Henri-IV alumni
532:Scientists from Paris
279:Maître de conférences
499:at Wikimedia Commons
464:The Calculus Gallery
236:Education and career
224:most famous for his
424:(in French). Bayart
291:University of Dijon
254:École Polytechnique
187:University of Dijon
387:"René-Louis Baire"
132:Normal convergence
495:Media related to
343:nowhere dense set
283:Collège de France
206:
205:
193:Doctoral students
163:Scientific career
136:Nowhere dense set
569:
503:René-Louis Baire
494:
478:
460:
449:
446:René-Louis Baire
443:
434:
433:
431:
429:
414:
403:
402:
400:
398:
391:MacTutor archive
382:
219:
214:
209:René-Louis Baire
157:
150:
72:
54:
52:
40:
30:René-Louis Baire
26:
577:
576:
572:
571:
570:
568:
567:
566:
512:
511:
487:
482:
481:
461:
452:
444:
437:
427:
425:
416:
415:
406:
396:
394:
384:
383:
376:
371:
359:
319:
299:
238:
212:
185:
155:
151:
148:
134:
130:
126:
122:
118:
114:
110:
94:Alma mater
79:
74:
70:
61:
56:
55:21 January 1874
50:
48:
31:
24:
17:
12:
11:
5:
575:
573:
565:
564:
559:
554:
549:
544:
539:
534:
529:
524:
514:
513:
510:
509:
500:
486:
485:External links
483:
480:
479:
450:
435:
404:
373:
372:
370:
367:
366:
365:
358:
355:
327:Henri Lebesgue
318:
315:
298:
295:
246:Lycée Henri IV
237:
234:
204:
203:
200:
199:
194:
190:
189:
180:
176:
175:
170:
166:
165:
159:
158:
153:Peccor Lecture
146:Prix Francoeur
143:
139:
138:
120:Baire property
112:Baire function
105:
104:Known for
101:
100:
95:
91:
90:
85:
81:
80:
75:
73:(aged 58)
67:
63:
62:
57:
46:
42:
41:
33:
32:
29:
15:
13:
10:
9:
6:
4:
3:
2:
574:
563:
560:
558:
555:
553:
550:
548:
545:
543:
540:
538:
535:
533:
530:
528:
525:
523:
520:
519:
517:
508:
504:
501:
498:
493:
489:
488:
484:
476:
475:0-691-09565-5
472:
468:
465:
459:
457:
455:
451:
447:
442:
440:
436:
423:
419:
413:
411:
409:
405:
392:
388:
381:
379:
375:
368:
364:
361:
360:
356:
354:
352:
348:
344:
340:
336:
332:
328:
324:
323:Vito Volterra
316:
314:
312:
308:
304:
296:
294:
292:
288:
284:
280:
276:
271:
270:discontinuity
267:
263:
259:
255:
251:
247:
243:
242:Lycée Lakanal
235:
233:
231:
227:
223:
222:mathematician
218:
217:[bɛʁ]
210:
201:
198:
197:Arnaud Denjoy
195:
191:
188:
184:
181:
177:
174:
171:
167:
164:
160:
154:
147:
144:
140:
137:
133:
129:
125:
121:
117:
116:Baire measure
113:
109:
106:
102:
99:
96:
92:
89:
86:
82:
78:
68:
64:
60:
47:
43:
39:
34:
27:
22:
463:
426:. Retrieved
421:
418:"René Baire"
395:. Retrieved
390:
350:
346:
330:
320:
300:
239:
229:
208:
207:
179:Institutions
162:
71:(1932-07-05)
552:Topologists
527:1932 deaths
522:1874 births
467:pp. 183–199
428:23 February
422:Bibmath.net
397:23 February
311:Lake Geneva
303:agoraphobia
173:Mathematics
156:(1903-1904)
149:(1920-1921)
128:Baire space
84:Nationality
69:5 July 1932
516:Categories
497:René Baire
369:References
335:set theory
262:Bar-le-Duc
258:agrégation
51:1874-01-21
124:Baire set
357:See also
307:Lausanne
287:analysis
252:and the
77:Chambéry
505:at the
297:Illness
213:French:
473:
277:as a "
266:limits
169:Fields
142:Awards
88:French
59:Paris
471:ISBN
430:2012
399:2012
325:and
268:and
66:Died
45:Born
518::
453:^
438:^
420:.
407:^
389:.
377:^
477:.
432:.
401:.
211:(
53:)
49:(
23:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
