Equivariant wedge sum construction of finite contractible \(G\)-CW complexes with \(G\)-vector bundles
type: Item
instance of: scholarly article
title: Equivariant wedge sum construction of finite contractible \(G\)-CW complexes with \(G\)-vector bundles
zbMATH Open document ID: 0954.57020
author: Masaharu Morimoto
author: Krzysztof Pawałowski
published in: Osaka Journal of Mathematics
publication date: 2001-02-14T00:00:00Z
review text: In [Topology 35, No. 3, 583-615 (1996; Zbl 0861.57047)] \textit{B. Oliver} answered the question when a smooth manifold is the fixed point set of a smooth action of a group \(G\) on a disk. The obstruction, beyond those for the construction of such an action in the CW category, is the existence of a certain \(G\)-homotopy commutative diagram. An important step in the construction of the action on a disk is an extension of this diagram. The authors ask whether additional assumptions may be imposed on the action on the disk. In special cases, the authors discuss the extension of the relevant diagram which reflects these additional assumptions.
reviewed by: Karl Heinz Dovermann
Mathematics Subject Classification ID: 57S17
Mathematics Subject Classification ID: 55M20
Mathematics Subject Classification ID: 57S25
zbMATH DE Number: 1455435
zbMATH Keywords: actions on disks
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1455435