A Brouwer type theorem
type: Item
instance of: scholarly article
title: A Brouwer type theorem
zbMATH Open document ID: 0686.54027
DOI: 10.1007/BF01953375
published in: Acta Mathematica Hungarica
publication date: 1989-01-01T00:00:00Z
review text: The well known and very plausible conjecture, that any contractible compact set of \({\mathbb{R}}^ n\) has the fixed point property was disproved by \textit{S. Kinoshita} in Fundam. Math. 40, 96-98 (1953; Zbl 0053.125). He gave a two dimensional contractible continuum without the fixed point property. The aim of the present note is to prove the fixed point teorem to the ``star-like'' compact sets of \({\mathbb{R}}^ 2\).
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 4124589
zbMATH Keywords: fixed point property
author: I. Joó
MaRDI profile type: Publication
cites work: On some contractible continua without fixed point property
cites work: Q5605151
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description: scientific article; zbMATH DE number 4124589