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426:, uncountable order types, disjoint refinements, almost disjoint families, cardinal arithmetics, filters, ideals, and partition relations, iterated forcing and Axiom A, proper forcing and the proper forcing axiom,
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462:, Infinite and Finite Sets, Keszthely (Hungary) 1973, volume 10 of Colloquia Mathematica Societatis János Bolyai, pages 109–130. North-Holland, 1975
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One of
Baumgartner's results is the consistency of the statement that any two
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Jean A. Larson: In memoriam: James Earl
Baumgartner (1943-2011)
236:-dense sets of reals are order isomorphic (a set of reals is
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The mathematical context in which
Baumgartner worked spans
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163:(March 23, 1943 – December 28, 2011) was an American
411:. He died in 2011 of a heart attack at his home in
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473:, Journal of Symbolic Logic, 41(2):481–482, 1976
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494:, Annals of Mathematical Logic 15, 289–313, 1978
345:{\displaystyle \omega _{1}\to (\alpha )_{n}^{2}}
508:Baumgartner, James E.; Erdős, Paul; Higgs, D.,
455:, Annals of Mathematical Logic, 9:187–222, 1976
510:Cross-cuts in the power set of an infinite set
206:in 1969, and spent his entire career there.
519:(Contemporary Mathematics, Volume 31), 1990
535:
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646:University of California, Berkeley alumni
445:
530:
503:Colorful partitions of cardinal numbers
478:Ineffability properties of cardinals II
186:, began his undergraduate study at the
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460:Ineffability properties of cardinals I
378:{\displaystyle \alpha <\omega _{1}}
290:points in every open interval). With
626:21st-century American mathematicians
621:20th-century American mathematicians
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192:University of California, Berkeley
188:California Institute of Technology
92:University of California, Berkeley
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543:. Rand-wilson.com. Archived from
505:, Can. J. Math. 31, 524–541, 1979
190:in 1960, then transferred to the
515:Baumgartner, James E. (Editor),
489:Generalized Erdős cardinals and
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541:"James E. Baumgartner Obituary"
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569:Mathematics Genealogy Project
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471:Adding a closed unbounded set
16:American logician (1943–2011)
501:; Galvin, Fred; Larson, J.,
404:{\displaystyle n<\omega }
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661:People from Wichita, Kansas
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283:{\displaystyle \aleph _{1}}
256:{\displaystyle \aleph _{1}}
229:{\displaystyle \aleph _{1}}
202:. He became a professor at
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666:Mathematicians from Kansas
453:A new class of order types
428:chromatic number of graphs
296:Baumgartner–Hajnal theorem
651:Dartmouth College faculty
263:-dense if it has exactly
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298:, which states that the
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497:Baumgartner, James E.;
476:Baumgartner, James E.,
465:Baumgartner, James E.;
458:Baumgartner, James E.,
451:Baumgartner, James E.,
641:Mathematical logicians
581:"Valley News obituary"
565:James Earl Baumgartner
413:Hanover, New Hampshire
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161:James Earl Baumgartner
73:Hanover, New Hampshire
23:James Earl Baumgartner
469:; Kleinberg, Eugene,
446:Selected publications
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175:and foundations, and
517:Axiomatic Set Theory
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198:. His advisor was
173:mathematical logic
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99:Scientific career
65:December 28, 2011
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549:. Retrieved
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115:Institutions
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67:(2011-12-28)
656:2011 deaths
616:1943 births
499:Erdős, Paul
141:Jean Larson
109:Mathematics
80:Nationality
610:Categories
551:2012-01-06
524:References
352:holds for
169:set theory
47:1943-03-23
399:ω
367:ω
360:α
325:α
319:→
310:ω
272:ℵ
245:ℵ
218:ℵ
434:See also
177:topology
83:American
567:at the
105:Fields
396:<
385:and
363:<
62:Died
41:Born
612::
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