Proof — Hilbert’s fifth problem and transformation groups
Statement
Montgomery (with Gleason, Zippin) resolved Hilbert’s fifth problem: locally Euclidean topological groups are Lie groups.
Formula
G locally Euclidean ⇒ Lie group
Source
Canonical lineament aligned with TANAAKK IAS Faculty Emeriti index (2026); consult specialist monographs for full proofs.
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mathematics
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- Theorem: Hilbert’s fifth problem and transformation groups
- Proof: Hilbert’s fifth problem and transformation groups