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336:. They explored the relationships between topological properties of the space and algebraic properties of the ring. Gillman and Henriksen defined and characterized the classes of
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of the MAA. He held this office for 13 years. Gillman retired from UT in 1987 and served as
President of the MAA for the term 1987–1988. Leonard Gillman received a
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413:, but he had to give it up after moving to the University of Texas that same year. He chaired the UT mathematics department until 1973, when he was elected
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293:. With no specialists to advise him, Gillman wrote and published a paper that became his thesis: "On Intervals of Ordered Sets". He also sent the paper to
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234:. He received a diploma in piano from Juilliard in 1938, then continued his studies at Columbia, graduating with a
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where he continued doing Navy work for the
Operations Evaluation Group (OEG), affiliated with the
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888:"Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis"
669:"Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis"
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495:"Rings of continuous functions in which every finitely generated ideal is principal"
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and F-spaces, and
Gillman and Jerison published an entire textbook on the subject:
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in mathematics in 1941. He stayed on as a graduate student, and completed the
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in 1926, and he began intensive training as a pianist. Upon graduation from
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at MIT to write a doctoral thesis. Originally he intended for it to be on
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409:(MAA). In 1969 he was appointed a regional Associate Secretary of the
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In 1960, he became chairman of the department of mathematics at the
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After one semester at
Juilliard, he enrolled in evening classes in
815:
405:. At Rochester, Gillman also became involved in activities of the
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195:
530:
Fine, N.J.; Gillman, L. (February 1962). "Remote points in βR".
359:, and he spent the next two years as a visiting member at the
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Gillman, Leonard (January 1992). "The Car and the Goats".
1033:"Former MAA President Leonard Gillman Dies (1917–2009)"
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everywhere he worked, and performed four times at the
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157:(January 8, 1917 – April 7, 2009) was an American
500:Transactions of the American Mathematical Society
493:Gillman, Leonard; Henriksen, Melvin (July 1956).
533:Proceedings of the American Mathematical Society
460:"An Isomorphism Theorem for Real-Closed Fields"
563:Writing Mathematics Well: A Manual for Authors
194:in 1922. It was there that he started taking
8:
316:, and others. This work concentrated on the
18:
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812:John Simon Guggenheim Memorial Foundation
687:
512:
458:; Gillman, L.; Henriksen, M. (May 1955).
249:In 1943, Gillman accepted a position at
169:. He was also an accomplished classical
995:"Leonard Gillman; an Interview, part 2"
963:"Leonard Gillman; an Interview, part 1"
849:"An axiomatic approach to the integral"
734:
613:"An Axiomatic Approach to the Integral"
565:. Mathematical Association of America.
253:, working on a special project for the
836:. Mathematical Association of America.
304:At Purdue, he began to do research in
277:. After five years he took a one-year
1145:University of Texas at Austin faculty
275:Massachusetts Institute of Technology
7:
1175:20th-century American male musicians
1105:21st-century American mathematicians
1100:20th-century American mathematicians
285:, but he happened to read a book by
1048:(4): 34–35. August–September 2009.
667:Gillman, Leonard (June–July 2002).
441:. Gillman died on April 7, 2009 in
407:Mathematical Association of America
269:from Columbia in 1945. He moved to
1120:Columbia College (New York) alumni
961:Henriksen, Melvin (October 1997).
725:(2003 Lester R. Ford Award winner)
289:and became suddenly interested in
212:Juilliard Graduate School of Music
198:lessons at age six. They moved to
74:Juilliard Graduate School of Music
14:
611:Gillman, Leonard (January 1993).
1160:20th-century classical musicians
1115:American male classical pianists
1075:Gillman's home page at UT Austin
993:Henriksen, Melvin (March 1998).
1165:20th-century classical pianists
1150:University of Rochester faculty
355:In 1958, Gillman was awarded a
1170:20th-century American pianists
561:Gillman, Leonard (June 1987).
429:Gillman was involved in local
363:. He and former OEG colleague
1:
796:Mathematics Genealogy Project
752:Alfred Tarski: Life and Logic
676:American Mathematical Monthly
620:American Mathematical Monthly
583:American Mathematical Monthly
411:American Mathematical Society
342:Rings of Continuous Functions
190:in 1917. His family moved to
167:University of Texas at Austin
127:University of Texas at Austin
361:Institute for Advanced Study
1110:American classical pianists
421:in 1994 and again in 2003.
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757:Cambridge University Press
1155:American textbook writers
951:Austin American-Statesman
886:Gillman, Leonard (2002).
847:Gillman, Leonard (1993).
435:Joint Mathematics Meeting
257:. While there he wrote a
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93:
308:, in collaboration with
192:Pittsburgh, Pennsylvania
182:Early life and education
1125:Juilliard School alumni
663:for expository writing)
395:University of Rochester
371:and showed that if the
261:based on their work on
206:in 1933, Gillman won a
123:University of Rochester
999:Topological Commentary
967:Topological Commentary
935:Obituary at MAA Online
265:, and he received his
16:American mathematician
465:Annals of Mathematics
449:Selected publications
390:) has remote points.
357:Guggenheim Fellowship
1140:American topologists
661:Lester R. Ford Award
419:Lester R. Ford Award
373:continuum hypothesis
326:continuous functions
186:Gillman was born in
892:Amer. Math. Monthly
853:Amer. Math. Monthly
808:"1958 Fellows Page"
399:Arthur Harold Stone
232:Columbia University
78:Columbia University
743:Feferman, Anita B.
659:(winner of a 1994
242:for a mathematics
155:Leonard E. Gillman
770:978-0-521-80240-6
747:Feferman, Solomon
715:on March 23, 2012
649:on March 23, 2012
572:978-0-88385-443-3
468:. Second Series.
425:Music aspirations
334:topological space
299:Purdue University
287:Wacław Sierpiński
165:professor at the
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119:Purdue University
95:Scientific career
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830:"MAA Presidents"
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814:. Archived from
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642:. Archived from
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375:holds, then the
310:Melvin Henriksen
271:Washington, D.C.
134:Doctoral advisor
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1026:Further reading
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478:10.2307/1969812
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439:William Browder
431:classical music
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403:Dorothy Maharam
384:Tychonoff space
267:master's degree
255:Navy Department
220:
188:Cleveland, Ohio
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70:Alma mater
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43:Cleveland, Ohio
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39:January 8, 1917
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1069:External links
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401:and his wife
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54:April 7, 2009
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1057:. Retrieved
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982:. Retrieved
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946:Death notice
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859:(1): 16–25.
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115:Institutions
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56:(2009-04-07)
1095:2009 deaths
1090:1917 births
759:. pp.
365:Nathan Fine
332:is a given
283:game theory
228:mathematics
204:high school
139:Edgar Lorch
1084:Categories
1016:January 8,
984:January 8,
834:MAA Online
730:References
590:(1): 3–7.
291:set theory
279:sabbatical
240:coursework
208:fellowship
35:1917-01-08
1054:0731-2040
1041:MAA FOCUS
1011:1499-9226
979:1499-9226
900:CiteSeerX
684:CiteSeerX
456:Erdős, P.
415:Treasurer
381:separable
377:real line
246:by 1943.
177:Biography
1059:July 27,
779:54691904
749:(2004).
379:(or any
367:defined
338:P-spaces
324:-valued
306:topology
163:emeritus
88:Topology
948:at the
922:2695444
873:2324809
794:at the
761:214–215
706:2695444
640:2324809
604:2324540
554:2033766
523:1993054
486:1969812
320:of all
210:to the
171:pianist
109:pianist
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330:domain
328:whose
259:thesis
224:French
218:Career
101:Fields
1036:(PDF)
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973:(4).
918:JSTOR
869:JSTOR
713:(PDF)
702:JSTOR
672:(PDF)
647:(PDF)
636:JSTOR
616:(PDF)
600:JSTOR
550:JSTOR
519:JSTOR
482:JSTOR
244:Ph.D.
196:piano
1061:2009
1050:ISSN
1018:2008
1007:ISSN
986:2008
975:ISSN
775:OCLC
765:ISBN
721:2011
655:2011
567:ISBN
346:ISBN
322:real
318:ring
236:B.S.
226:and
64:, US
51:Died
45:, US
29:Born
910:doi
896:109
861:doi
857:100
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