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{{Infobox scientist
| name              = James Earl Baumgartner
| image             = James Baumgartner.jpeg
| image_size        = 225px
| caption           = James Baumgartner in 1975
| birth_date        = {{birth date|1943|3|23}}
| birth_place       = [[Wichita, Kansas]]
| death_date        = {{Death date and age|2011|12|28|1943|3|23}}
| death_place       = 
| nationality       = [[USA|American]]
| fields            = [[Mathematics]]
| workplaces        = [[Dartmouth College]]
| alma_mater        = [[University of California, Berkeley]]
| doctoral_advisor  = [[Robert Lawson Vaught]]
| doctoral_students = [[Jean Larson]]<br>[[Alan D. Taylor]]<br>[[Stanley Wagon]]
| known_for         = 
| awards            = 
}}
'''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>

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>
He became a professor at [[Dartmouth College]] in 1969, and there spent his entire career.

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>

== Selected publications ==
* Baumgartner, James E., ''A new class of order types'', Annals of Mathematical Logic, 9:187–222, 1976
* 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
* Baumgartner, James E.; [[Leo Harrington|Harrington, Leo]]; Kleinberg, Eugene, ''Adding a closed unbounded set'',  Journal of Symbolic Logic, 41(2):481–482, 1976
* 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
* Baumgartner, James E.;  [[Fred Galvin|Galvin, Fred]], ''Generalized Erdős cardinals and [[zero sharp|0<sup>#</sup>]]'', Annals of Mathematical Logic 15, 289–313, 1978
* Baumgartner, James E.; [[Paul Erdős|Erdős, Paul]]; Galvin, Fred; Larson, J., ''Colorful partitions of cardinal numbers'', Can. J. Math. 31, 524–541, 1979
* Baumgartner, James E.; Erdős, Paul; Higgs, D., ''Cross-cuts in the power set of an infinite set'', Order 1, 139–145, 1984
* Baumgartner, James E. (Editor), ''Axiomatic Set Theory'' (Contemporary Mathematics, Volume 31), 1990

==References==
<references/>
* [http://www.vnews.com/obits/obit%2012242011.htm Valley News obituary]

{{Authority control|VIAF=64254289}}

{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
| NAME              = Baumgartner, James Earl
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = American logician
| DATE OF BIRTH     = March 23, 1943
| PLACE OF BIRTH    = [[Wichita, Kansas]]
| DATE OF DEATH     = December 28, 2011
| PLACE OF DEATH    =
}}
{{DEFAULTSORT:Baumgartner, James Earl}}
[[Category:1943 births]]
[[Category:American mathematicians]]
[[Category:American logicians]]
[[Category:Set theorists]]
[[Category:Mathematical logicians]]
[[Category:University of California, Berkeley alumni]]
[[Category:Dartmouth College faculty]]
[[Category:2011 deaths]]