The fixed-point property for deformations of uniquely arcwise connected continua
type: Item
instance of: scholarly article
title: The fixed-point property for deformations of uniquely arcwise connected continua
zbMATH Open document ID: 0606.54029
DOI: 10.1016/0166-8641(86)90063-5
author: C. L. Hagopian
published in: Topology and its Applications
publication date: 1986-01-01T00:00:00Z
review text: A mapping f of a space M into M is called a deformation of M if there exists a mapping h of \(M\times [0,1]\) onto M such that \(h(x,0)=x\) and \(h(x,1)=f(x)\) for each point x of M. The author proves that if M is a uniquely arcwise connected metric continuum, then every deformation of M has a fixed point. Some related results and problems are discussed.
Mathematics Subject Classification ID: 54F15
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 3980003
zbMATH Keywords: fixed-point property
zbMATH Keywords: deformation
zbMATH Keywords: uniquely arcwise connected continua
zbMATH Keywords: Borsuk ray
zbMATH Keywords: dog-chases-rabbit principle
reviewed by: Janusz J. Charatonik
MaRDI profile type: Publication
full work available at URL: 0166-8641(86)90063-5
OpenAlex ID: W2055921866
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description: scientific article; zbMATH DE number 3980003