James Earl Baumgartner, Date of Birth, Place of Birth, Date of Death

James Earl Baumgartner

American logician

Date of Birth: 23-Mar-1943

Place of Birth: Wichita, Kansas, United States

Date of Death: 28-Dec-2011

Profession: mathematician, university teacher, philosopher

Nationality: United States

Zodiac Sign: Aries

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About James Earl Baumgartner

James Earl Baumgartner (March 23, 1943 – December 28, 2011) was an American mathematician who worked in set theory, mathematical logic and foundations, and topology.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.
He became a professor at Dartmouth College in 1969, and spent there his entire career. One of Baumgartner's results is the consistency of the statement that any two ? 1 {\displaystyle \aleph _{1}} -dense sets of reals are order isomorphic (a set of reals is ? 1 {\displaystyle \aleph _{1}} -dense if it has exactly ? 1 {\displaystyle \aleph _{1}} points in every open interval).
With András Hajnal he proved the Baumgartner–Hajnal theorem, which states that the partition relation ? 1 ? ( a ) n 2 {\displaystyle \omega _{1}\to (\alpha )_{n}^{2}} holds for a < ? 1 {\displaystyle \alpha <\omega _{1}} and n < ? {\displaystyle n<\omega } .
He died in 2011 of a heart attack at his home in Hanover, New Hampshire.The mathematical context in which Baumgartner worked spans Suslin's problem, Ramsey theory, 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, chromatic number of graphs, a thin very-tall superatomic Boolean algebra, closed unbounded sets, and partition relations

George Bergman (1943–)

	Alternative names	George M. Bergman
	Description	American university teacher
	Date of birth	22 July 1943
	Location of birth	Brooklyn
	Authority control	: Q16198978 VIAF: 36173960 ISNI: 0000 0001 1054 507X LCCN: n96003979 MGP: 32848 GND: 172970725 WorldCat

James Earl Baumgartner, Date of Birth, Place of Birth, Date of Death

About James Earl Baumgartner

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