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Deane Montgomery

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Name
  
Deane Montgomery


Role
  
Mathematician

Deane Montgomery httpsuploadwikimediaorgwikipediacommonsthu

Died
  
March 15, 1992, Chapel Hill, North Carolina, United States

Books
  
Topological Transformation Groups

Education
  
University of Iowa (1933), Hamline University

Awards
  
Guggenheim Fellowship for Natural Sciences, US & Canada

Deane Montgomery (September 2, 1909 – March 15, 1992) was a mathematician specializing in topology who was one of the contributors to the final resolution of Hilbert's fifth problem in the 1950s. He served as President of the American Mathematical Society from 1961 to 1962.

Deane Montgomery Deane Montgomery Wikipedia

Born in the small town of Weaver, Minnesota, he received his B.S. from Hamline University in St. Paul, MN and his Masters and Ph.D. from the University of Iowa in 1933; his dissertation advisor was Edward Chittenden.

In 1941 Montgomery was awarded a Guggenheim Fellowship. In 1988, he was awarded the American Mathematical Society Leroy P. Steele Prize for Lifetime Achievement.

He was a member of the United States National Academy of Sciences and of the American Academy of Arts and Sciences.

Publications

  • with Leo Zippin: "A theorem on Lie groups". Bull. Amer. Math. Soc. 48 (6): 448–452. 1942. MR 0006545. doi:10.1090/s0002-9904-1942-07699-3. 
  • "Measure preserving homeomorphisms at fixed points". Bull. Amer. Math. Soc. 51 (12): 949–953. 1945. MR 0013905. doi:10.1090/s0002-9904-1945-08477-8. 
  • with Leo Zippin: "Two-dimensional subgroups". Proc. Amer. Math. Soc. 2 (5): 822–838. 1951. MR 0047669. doi:10.1090/s0002-9939-1951-0047669-0. 
  • with Leo Zippin: "Small subgroups of finite-dimensional groups". Proc Natl Acad Sci U S A. 38 (5): 440–442. 1952. PMC 1063582 . PMID 16589121. doi:10.1073/pnas.38.5.440. 
  • Deane Montgomery and Leo Zippin, Topological Transformation Groups, Interscience Publishers, 1955.
  • with Hans Samelson and C. T. Yang: "Groups on En with (n-2)-dimensional orbits". Proc. Amer. Math. Soc. 7 (4): 719–728. 1956. MR 0078643. doi:10.1090/s0002-9939-1956-0078643-0. 
  • with C. T. Yang: "Orbits of highest dimension". Trans. Amer. Math. Soc. 87 (2): 284–293. 1958. MR 0100272. doi:10.1090/s0002-9947-1958-0100272-7. 

    • References

    Deane Montgomery Wikipedia
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