Deane Montgomery

Deane Montgomery ( born September 2, 1909 in Weaver in Minnesota, † March 15 1992 in Chapel Hill ( North Carolina)) was an American mathematician, with topology, specifically topological groups and transformation groups, dealt.

Montgomery received his doctorate in 1933 with Edward Chittenden at the University of Iowa. 1935 to 1946 he was at Smith College in Northampton (Massachusetts ), from 1948 until his retirement in 1980 Professor at the Institute for Advanced Study, where he was 1934/35, 1941/42 and 1945 /46.

Montgomery is best known for his solution of Hilbert's fifth problem in 1952 with Leo Zippin ( "Small subgroups of finite dimensional groups". Annals of Mathematics, Vol 56, 1952, p 213), the question of whether any locally Euclidean topological group a Lie group is ( ie with differentiable group effect). From the late 1960s he studied with CT Yang, the group effects on homotopic 7- spheres (with different differential structures).

1974 to 1978 he was president of the International Mathematical Union. In 1962 he was president of the American Mathematical Society ( AMS). He was a member of the National Academy of Sciences and the American Academy of Arts and Sciences. Montgomery was 1941 Guggenheim Fellow and received the 1988 Leroy P. Steele Prize of the AMS for his life's work. He was an honorary Doctor of Hamline University, Yeshiva University and the University of Illinois. In 1967 he became Doctor of Law Tulane University.

Writings

• Leo Zippin, " Topological Transformation Groups". Interscience, 1955.
• With CT Yang: "Free differentiable actions on homotopy spheres ." In: Proceedings Conference on Transformation Groups, New Orleans, 1967, p 175, Springer-Verlag 1968.
• CT Yang, " Differentiable pseudo- free circle actions on homo topic 7- spheres ". In: Proceedings Conference on Transformation Groups, University of Massachusetts, 1971, Springer-Verlag.