A connected space with a dispersion point without fixed-point property
type: Item
instance of: scholarly article
title: A connected space with a dispersion point without fixed-point property
zbMATH Open document ID: 0661.54038
DOI: 10.1016/0166-8641(88)90083-1
author: A. Gutek
published in: Topology and its Applications
publication date: 1988-01-01T00:00:00Z
review text: \textit{H. Katsuura} [Topology Appl. 28, No.3, 233-240 (1988; Zbl 0642.54032); Question 3] asked whether there is a connected space with a dispersion point that does not have the fixed point property. The author answers this question in the affirmative.
Mathematics Subject Classification ID: 54G15
Mathematics Subject Classification ID: 54G20
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 4080391
zbMATH Keywords: Cantor ternary set
zbMATH Keywords: connected space with a dispersion point
zbMATH Keywords: fixed point property
reviewed by: Jerzy Mioduszewski
MaRDI profile type: Publication
full work available at URL: 0166-8641(88)90083-1
OpenAlex ID: W2082538775
cites work: Dispersion Points and Fixed Points
cites work: Q5516053
cites work: Q4734468
cites work: Dispersion points and continuous functions
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description: scientific article; zbMATH DE number 4080391