"Others have spoken and written about his solution of Hilbert's fifth problem, but perhaps not enough is said about his later work, especially his joint work with C. T. Yang. In a long series of papers written in the late 1960s and early 1970s, they used the study of group actions on homotopy 7-spheres to showcase and test the growing new techniques of differential topology, especially index theory and surgery theory. At a time when much work in topology consisted in building these machines, their papers demonstrated the beauty of applying this theory to unfurl complexities of symmetry and structure."
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Mathematicians from the United StatesGuggenheim FellowsMembers of the American Philosophical SocietyPeople from Minnesota
Original Language: English
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Ronald Fintushel in: (quote from p. 349)
https://en.wikiquote.org/wiki/Deane_Montgomery
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Deane Montgomery
Deane Montgomery (2 September 1909 – 15 March 1992) was an American 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.
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