Maps between a space and its square (Q1888468)
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scientific article; zbMATH DE number 2117951
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maps between a space and its square |
scientific article; zbMATH DE number 2117951 |
Statements
Maps between a space and its square (English)
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23 November 2004
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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.
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finite products
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clone
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first order language
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clone theory
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monoid theory
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categories of metric, uniform or topological spaces
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continuous binary maps
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