"THEOREM: if G is a locally euclidean, connected, simply connected topological group of dimension n greater than one, then G contains a closed proper subgroup of positive dimension."
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Mathematicians from the United StatesGuggenheim FellowsMembers of the American Philosophical SocietyPeople from Minnesota
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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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