Local contractibility of the homeomorphism group of \(\mathbb R^n\)

DOI10.1134/S0081543808040147zbMath1184.57027MaRDI QIDQ735634

A. V. Chernavskii

Publication date: 23 October 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

isotopylocal contractibilityhomeomorphism group of \(\mathbb R^n\)homeomorphism group of manifold

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Higher-dimensional local connectedness (54F35)

Related Items

On a question of B.J. Baker and M. Laidacker concerning disjoint compacta in \(\mathbb{R}^N\)

Cites Work

• Stable homeomorphisms and the annulus conjecture
• On the triangulation of manifolds and the Hauptvermutung
• Manifolds with free abelian fundamental groups and their applications (Pontrjagin classes, smoothnesses, multidimensional knots)