The simplicity of certain groups of subanalytic diffeomorphisms

DOI10.1016/J.DIFGEO.2009.03.006zbMath1178.57022OpenAlexW2033726254WikidataQ115357283 ScholiaQ115357283MaRDI QIDQ734724

Marja Kankaanrinta

Publication date: 13 October 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2009.03.006

zbMATH Keywords

subanalyticdiffeomorphism groupEpstein's axioms

Mathematics Subject Classification ID

Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Differential topological aspects of diffeomorphisms (57R50)

Cites Work

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• Commutators of \(C^{\infty}\)-diffeomorphisms. Appendix to A curious remark concerning the geometric transfer map by John N. Mather
• Semianalytic and subanalytic sets
• On Levi's problem and the imbedding of real-analytic manifolds
• Commutators of diffeomorphisms. II
• A note about \(G\)-equivariant homotopies and isotopies, where \(G\) is a Lie group
• Commutators of diffeomorphisms
• Smoothly equivalent real analytic proper \(G\)-manifolds are subanalytically equivalent
• On the group of real analytic diffeomorphisms
• Foliations and groups of diffeomorphisms
• An exact sequence in differential topology

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