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| {{Infobox scientist
| | I would like to introduce myself to you, I am Andrew and my spouse doesn't like it at all. What me and my family love is bungee jumping but I've been taking on new issues lately. My working day job is a journey agent. Ohio is exactly where her home is.<br><br>Here is my page: free online tarot card readings ([http://www.khuplaza.com/dent/14869889 look these up]) |
| | name = James Earl Baumgartner
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| | image = James Baumgartner.jpeg
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| | image_size = 225px
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| | caption = James Baumgartner in 1975
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| | birth_date = {{birth date|1943|3|23}}
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| | birth_place = [[Wichita, Kansas]]
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| | death_date = {{Death date and age|2011|12|28|1943|3|23}}
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| | death_place =
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| | nationality = [[USA|American]]
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| | fields = [[Mathematics]]
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| | workplaces = [[Dartmouth College]]
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| | alma_mater = [[University of California, Berkeley]]
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| | doctoral_advisor = [[Robert Lawson Vaught]]
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| | doctoral_students = [[Jean Larson]]<br>[[Alan D. Taylor]]<br>[[Stanley Wagon]]
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| | known_for =
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| | awards =
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| }}
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| '''James Earl Baumgartner''' (March 23, 1943 – December 28, 2011) was an American [[mathematician]] who worked in [[set theory]], [[mathematical logic]] and foundations, and [[topology]].<ref>{{cite web|url=http://rand-wilson.com/obituaries/obit_view.php?id=26 |title=James E. Baumgartner Obituary |publisher=Rand-wilson.com |date= |accessdate=2012-01-06}}</ref> | |
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| Baumgartner was born in [[Wichita, Kansas]], began his undergraduate study at the [[California Institute of Technology]] in 1960, then transferred to the [[University of California, Berkeley]], from which he received his PhD in 1970 from for a dissertation entitled ''Results and Independence Proofs in Combinatorial Set Theory''. His advisor was [[Robert Vaught]].<ref>{{MathGenealogy|id=22587}}</ref>
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| He became a professor at [[Dartmouth College]] in 1969, and there spent his entire career.
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| One of Baumgartner's results is the consistency of the statement that any two <math>\aleph_1</math>-dense sets of reals are order isomorphic (a set of reals is <math>\aleph_1</math>-dense if it has exactly <math>\aleph_1</math> points in every open interval). With [[András Hajnal]] he proved the result ([[Baumgartner–Hajnal theorem]]) that the [[partition relation]] <math>\omega_1\to(\alpha)^2_n</math> holds for <math>\alpha<\omega_1,n<\omega</math>. He died of a heart attack in 2011.<ref>[http://rand-wilson.com/obituaries/obit_view.php?id=26]</ref>
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| == Selected publications ==
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| * Baumgartner, James E., ''A new class of order types'', Annals of Mathematical Logic, 9:187–222, 1976
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| * Baumgartner, James E., ''Ineffability properties of cardinals I'', 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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| * Baumgartner, James E.; [[Leo Harrington|Harrington, Leo]]; Kleinberg, Eugene, ''Adding a closed unbounded set'', Journal of Symbolic Logic, 41(2):481–482, 1976
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| * Baumgartner, James E., ''Ineffability properties of cardinals II'', Robert E. Butts and Jaakko Hintikka, editors, Logic, Foundations of Mathematics and Computability Theory, pages 87–106. Reidel, 1977
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| * Baumgartner, James E.; [[Fred Galvin|Galvin, Fred]], ''Generalized Erdős cardinals and [[zero sharp|0<sup>#</sup>]]'', Annals of Mathematical Logic 15, 289–313, 1978
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| * Baumgartner, James E.; [[Paul Erdős|Erdős, Paul]]; Galvin, Fred; Larson, J., ''Colorful partitions of cardinal numbers'', Can. J. Math. 31, 524–541, 1979
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| * Baumgartner, James E.; Erdős, Paul; Higgs, D., ''Cross-cuts in the power set of an infinite set'', Order 1, 139–145, 1984
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| * Baumgartner, James E. (Editor), ''Axiomatic Set Theory'' (Contemporary Mathematics, Volume 31), 1990
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| ==References==
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| <references/>
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| * [http://www.vnews.com/obits/obit%2012242011.htm Valley News obituary]
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| {{Authority control|VIAF=64254289}}
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| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
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| | NAME = Baumgartner, James Earl
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| | ALTERNATIVE NAMES =
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| | SHORT DESCRIPTION = American logician
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| | DATE OF BIRTH = March 23, 1943
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| | PLACE OF BIRTH = [[Wichita, Kansas]]
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| | DATE OF DEATH = December 28, 2011
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| | PLACE OF DEATH =
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| }}
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| {{DEFAULTSORT:Baumgartner, James Earl}}
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| [[Category:1943 births]]
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| [[Category:American mathematicians]]
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| [[Category:American logicians]]
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| [[Category:Set theorists]]
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| [[Category:Mathematical logicians]]
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| [[Category:University of California, Berkeley alumni]]
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| [[Category:Dartmouth College faculty]]
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| [[Category:2011 deaths]]
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I would like to introduce myself to you, I am Andrew and my spouse doesn't like it at all. What me and my family love is bungee jumping but I've been taking on new issues lately. My working day job is a journey agent. Ohio is exactly where her home is.
Here is my page: free online tarot card readings (look these up)