Local contractibility of the homeomorphism group of \(\mathbb R^n\)
type: Item
instance of: scholarly article
title: Local contractibility of the homeomorphism group of \(\mathbb R^n\)
zbMATH Open document ID: 1184.57027
DOI: 10.1134/S0081543808040147
author: A. V. Chernavskii
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2009-10-23T00:00:00Z
review text: In 1969 the author published a famous result showing that the homeomorphism group of a topological manifold is locally contractible [Math. USSR, Sb. 8, 287--333 (1969); translation from Mat. Sb., n. Ser. 79(121), 307--356 (1969; Zbl 0193.51501)]. The main part of the proof involved the special case of \(\mathbb R^n\). This paper presents a detailed, slightly modified, exposition of the special case and also corrects an oversight in the original.
Mathematics Subject Classification ID: 57S05
Mathematics Subject Classification ID: 58D05
Mathematics Subject Classification ID: 54F35
zbMATH DE Number: 5619799
zbMATH Keywords: homeomorphism group of \(\mathbb R^n\)
zbMATH Keywords: homeomorphism group of manifold
zbMATH Keywords: isotopy
zbMATH Keywords: local contractibility
reviewed by: David B. Gauld
MaRDI profile type: Publication
cites work: Manifolds with free abelian fundamental groups and their applications (Pontrjagin classes, smoothnesses, multidimensional knots)
cites work: Stable homeomorphisms and the annulus conjecture
cites work: On the triangulation of manifolds and the Hauptvermutung
description: scientific article; zbMATH DE number 5619799