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Difference between revisions of "Perfect irreducible mapping"

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A [[Perfect mapping|perfect mapping]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072050/p0720501.png" /> of a topological space <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072050/p0720502.png" /> onto a topological space <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072050/p0720503.png" /> which is irreducible (that is, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072050/p0720504.png" /> is not the image of any proper closed subset of <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p072/p072050/p0720505.png" />, cf. also [[Irreducible mapping|Irreducible mapping]]).
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A [[Perfect mapping|perfect mapping]] $f$ of a topological space $X$ onto a topological space $Y$ which is irreducible (that is, $Y$ is not the image of any proper closed subset of $X$, cf. also [[Irreducible mapping|Irreducible mapping]]).

Latest revision as of 14:42, 1 May 2014

A perfect mapping $f$ of a topological space $X$ onto a topological space $Y$ which is irreducible (that is, $Y$ is not the image of any proper closed subset of $X$, cf. also Irreducible mapping).

How to Cite This Entry:
Perfect irreducible mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Perfect_irreducible_mapping&oldid=32038
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article
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