Hilbert's Fifth Problem for Local Groups

Details Hilbert's Fifth Problem for Local Groups Hilbert's Fifth Problem for Local Groups

2007-08-28

arxiv.org/abs/0708.3871v3

Mathematics

Differential Geometry

Scientific paper

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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