Title of article :
Maps between a space and its square
Author/Authors :
Sichler، نويسنده , , J and Trnkovل، نويسنده , , V، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2004
Abstract :
We construct metric (or uniform or topological) spaces X and Y such that every non-expanding (or uniformly continuous or continuous) map Y×Y→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.
Keywords :
Continuous binary maps , Finite products , First order language , Clone , Clone theory , Monoid theory , Categories of metric , uniform or topological spaces
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
