Hilbert's Fifth Problem for Local Groups
classification
🧮 math.DG
math.LO
keywords
fifthgroupshilbertlocalproblemgrouplocallyproof
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We solve Hilbert's fifth problem for local groups: every locally euclidean local group is locally isomorphic to a Lie group. Jacoby claimed a proof of this in 1957, but this proof is seriously flawed. We use methods from nonstandard analysis and model our solution after a treatment of Hilbert's fifth problem for global groups by Hirschfeld.
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