Smoothly equivalent real analytic proper \(G\)-manifolds are subanalytically equivalent

DOI10.1007/BF01445270zbMath0863.57029OpenAlexW2327619432MaRDI QIDQ2563769

Soeren Illman

Publication date: 10 June 1997

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165473

zbMATH Keywords

diffeomorphismLie groupsubanalyticsimple-homotopy theoryreal analytic manifoldsequivariant Whitehead torsion\(G\)-equivariant\(G\)-homotopic

Mathematics Subject Classification ID

Semi-analytic sets, subanalytic sets, and generalizations (32B20) Noncompact Lie groups of transformations (57S20) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (1)

The simplicity of certain groups of subanalytic diffeomorphisms

Cites Work

• On the existence of slices for actions of non-compact Lie groups
• Semianalytic and subanalytic sets
• Stratification of real analytic mappings and images
• On the uniqueness of the analyticity of a proper \(G\)-action
• Stability of \(C^\infty\) mappings. II: Infinitesimal stability implies stability
• Projections of semi-analytic sets
• Simpliziale Zerlegung abzählbarer analytischer Räume
• Differential Topology
• C 1 Actions of Compact Lie Groups on Compact Manifolds are C 1 -Equivalent to C ∞ Actions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Smoothly equivalent real analytic proper \(G\)-manifolds are subanalytically equivalent