u-mappings on trees
type: Item
instance of: scholarly article
title: u-mappings on trees
zbMATH Open document ID: 0584.54030
published in: Pacific Journal of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: D. Bellamy has shown that there exist tree-like continua which do not have the fixed point property. We give sufficient conditions for a tree- like continuum to have the fixed point property. In order to establish this result, we define u-mappings on trees and show that each u-mapping is universal. Our results generalize similar theorems of \textit{C. A. Eberhart} and \textit{J. B. Fugate} in General Topology and Modern Analysis, Proc. Conf. 1980, 209-215 (1981; Zbl 0475.54022).
Mathematics Subject Classification ID: 54F15
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 3935948
zbMATH Keywords: tree-like continua
zbMATH Keywords: universal u-mapping
author: M. M. Marsh
MaRDI profile type: Publication
full work available at URL: pjm.1987.127.373
OpenAlex ID: W1508119143
DOI: 10.2140/PJM.1987.127.373
description: scientific article; zbMATH DE number 3935948