期刊
ENSEIGNEMENT MATHEMATIQUE
卷 61, 期 1-2, 页码 3-43出版社
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/LEM/61-1/2-2
关键词
Hilbert's fifth problem; Lie groups; no small subgroups; nonstandard analysis
类别
Assuming a modest amount of background we give full proofs of the results by Gleason, Montgomery-Zippin, and Yamabe that characterize Lie groups and generalized Lie groups among topological groups. Our treatment involves nonstandard reasoning, and we expose this method in an appendix.
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