Difference between revisions of "Continuous section"
From Encyclopedia of Mathematics
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| − | A continuous mapping | + | ''of a [[continuous mapping]]'' |
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| + | A continuous mapping $h : f(X) \rightarrow X$ of the image $f(X)$ of a continuous mapping $f : X \rightarrow Y$ of topological spaces $X,Y$ which is a [[Section of a mapping|section]] of $f$: that is, $f \circ h$ is the identity mapping on $f(X)$. | ||
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Latest revision as of 19:51, 22 October 2016
of a continuous mapping
A continuous mapping $h : f(X) \rightarrow X$ of the image $f(X)$ of a continuous mapping $f : X \rightarrow Y$ of topological spaces $X,Y$ which is a section of $f$: that is, $f \circ h$ is the identity mapping on $f(X)$.
How to Cite This Entry:
Continuous section. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Continuous_section&oldid=15587
Continuous section. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Continuous_section&oldid=15587
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article