Compact abelian actions on the two cell
type: Item
instance of: scholarly article
title: Compact abelian actions on the two cell
zbMATH Open document ID: 0626.57024
DOI: 10.1016/0166-8641(87)90090-3
author: Robert Sine
published in: Topology and its Applications
publication date: 1987-01-01T00:00:00Z
review text: It is shown that a compact abelian group of continuous self maps of the two-dimensional Euclidean cell has a common fixed point. The group identity is not assumed to be represented by the identity homeomorphism.
Mathematics Subject Classification ID: 57S25
Mathematics Subject Classification ID: 57S10
Mathematics Subject Classification ID: 57N05
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 4017936
zbMATH Keywords: compact abelian group of continuous self maps of the two-dimensional Euclidean cell
zbMATH Keywords: common fixed point
MaRDI profile type: Publication
full work available at URL: 0166-8641(87)90090-3
OpenAlex ID: W2028631886
cites work: Almost periodic minimal sets
cites work: Commuting Functions with No Common Fixed Point
cites work: Q5545552
cites work: Q5610294
cites work: Invariant Means on Almost Periodic Functions and Equicontinuous Actions
cites work: Common Fixed-Points for Equicontinuous Semigroups of Mappings
cites work: Some topological properties of weakly almost periodic mappings
cites work: Weakly almost periodic mappings on two-dimensional manifolds
cites work: Fixed-point sets of group actions on finite acyclic complexes
cites work: Q3341041
cites work: Q5515117
cites work: Q5794157
cites work: Q3854299
description: scientific article; zbMATH DE number 4017936