A fixed-point theorem for inverse limits of simple n-ods
type: Item
instance of: scholarly article
title: A fixed-point theorem for inverse limits of simple n-ods
zbMATH Open document ID: 0603.54035
DOI: 10.1016/0166-8641(86)90064-7
published in: Topology and its Applications
publication date: 1986-01-01T00:00:00Z
review text: \textit{R. H. Bing} asked [Am. Math. Mon. 76, 119-132 (1969; Zbl 0174.259)] if each tree-like continuum has the fixed-point property. \textit{D. Bellamy} [Houston Math. J. 6, 1-13 (1980; Zbl 0447.54039)] answered Bing's question in the negative. He gave an example of a tree-like continuum which admits a fixed point free mapping. We prove that certain inverse limits of simple n-ods have the fixed point property. Our theorem generalizes, in the case of simple n-ods, the fixed point theorem in the author's paper in Proc. Am. Math. Soc. 91, 139-142 (1984; Zbl 0538.54023).
Mathematics Subject Classification ID: 54F15
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54B35
zbMATH DE Number: 3973817
zbMATH Keywords: tree chain
zbMATH Keywords: inverse limits of simple n-ods
zbMATH Keywords: fixed point property
author: M. M. Marsh
MaRDI profile type: Publication
full work available at URL: 0166-8641(86)90064-7
OpenAlex ID: W1985860949
cites work: The Elusive Fixed Point Property
cites work: The fixed-point property for almost chainable homogeneous continua
cites work: A Fixed Point Theorem for Inverse Limits of Fans
description: scientific article; zbMATH DE number 3973817