A method for constructing ordered continua
type: Item
instance of: scholarly article
title: A method for constructing ordered continua
zbMATH Open document ID: 0572.54031
DOI: 10.1016/0166-8641(85)90056-2
author: K. P. Hart
author: Jan van Mill
published in: Topology and its Applications
publication date: 1985-01-01T00:00:00Z
review text: The authors present a method for obtaining rigid ordered continua, i.e. ordered continua which admit no other continuous selfmaps than those which are called necessary (in each case in an appropriate meaning). For instance, an order-homogeneous ordered continuum is constructed which has no other continuous non-increasing selfmaps except those which are constant. A continuum having these properties was constructed for the first time by Shelah in 1976. The authors constructed also an ordered continuum having only so-called canonical retractions as continuous selfmaps; a canonical retraction is a retraction onto a subsegment which maps components of the complement of this subsegment onto its ends.
Mathematics Subject Classification ID: 54F15
Mathematics Subject Classification ID: 54F05
zbMATH DE Number: 3913247
reviewed by: Jerzy Mioduszewski
MaRDI profile type: Publication
full work available at URL: 0166-8641(85)90056-2
OpenAlex ID: W2164748787
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Wikidata QID: Q126388513
description: scientific article; zbMATH DE number 3913247