Hilbert's fifth problem for local groups

DOI10.4007/annals.2010.172.1273zbMath1219.22004arXiv0708.3871OpenAlexW1974769077MaRDI QIDQ601867

Isaac Goldbring

Publication date: 29 October 2010

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.3871

zbMATH Keywords

nonstandard analysislocal Lie groupglobalizablelocal 1-parameter subgrouplocally Euclidean local group

Mathematics Subject Classification ID

Lie groups (22E99) Other topological algebraic systems and their representations (22A30)

Related Items (13)

Proper Lie groupoids are real analytic ⋮ Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics ⋮ The structure of approximate groups. ⋮ Molino's description and foliated homogeneity ⋮ Associativity and integrability ⋮ A local version of the Myers–Steenrod theorem ⋮ Approximate subgroups ⋮ Remarks on purity of methods ⋮ Book review of: T. Tao, Hilbert's fifth problem and related topics ⋮ Diverging sequences of unit volume invariant metrics with bounded curvature ⋮ Hilbert's 5th problem ⋮ Gordon's conjectures 1 and 2: Pontryagin-van Kampen duality in the hyperfinite setting ⋮ Stable group theory and approximate subgroups

Cites Work

• Cancellative semigroups on manifolds
• Some theorems on the structure of locally compact local groups
• More on cancellative semigroups on manifolds
• One parameter subgroups and nonstandard analysis
• Groups without small subgroups
• Small subgroups of finite-dimensional groups
• The Nonstandard Treatment of Hilbert's Fifth Problem
• On Euclidean Local Groups Satisfying Certain Conditions
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