Maps between a space and its square
type: Item
instance of: scholarly article
title: Maps between a space and its square
zbMATH Open document ID: 1068.54009
author: Věra Trnková
author: Jiří Sichler
published in: Topology and its Applications
publication date: 2004-11-23T00:00:00Z
review text: The authors construct metric (or uniform or topological) spaces \(X\) and \(Y\) such that every non-expanding (or uniformly continuous or continuous) map \(Y \times Y \rightarrow Y\) depends only on one of its variables, the space \(X\) fails to have this property and the respective monoids of all non-expanding (or uniformly continuous or continuous) selfmaps of \(X\) and \(Y\) are the same.
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54C05
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 2117951
zbMATH Keywords: finite products
zbMATH Keywords: clone
zbMATH Keywords: first order language
zbMATH Keywords: clone theory
zbMATH Keywords: monoid theory
zbMATH Keywords: categories of metric, uniform or topological spaces
zbMATH Keywords: continuous binary maps
reviewed by: Maximilian Ganster
MaRDI profile type: Publication
full work available at URL: j.topol.2004.01.007
OpenAlex ID: W1970996101
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DOI: 10.1016/J.TOPOL.2004.01.007
description: scientific article; zbMATH DE number 2117951