# Difference between revisions of "Universal covering"

From Encyclopedia of Mathematics

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− | A [[ | + | A [[covering]] to which every other covering is subordinate. |

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− | A covering | + | A covering $p:X\rightarrow Y$ of a space $Y$ is ''subordinate'' to a covering $p':X'\rightarrow Y$ if there is a covering $f:X'\rightarrow X$ such that $p'=pf$. |

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+ | {{TEX|done}} |

## Latest revision as of 20:01, 10 December 2017

A covering to which every other covering is subordinate.

#### Comments

A covering $p:X\rightarrow Y$ of a space $Y$ is *subordinate* to a covering $p':X'\rightarrow Y$ if there is a covering $f:X'\rightarrow X$ such that $p'=pf$.

**How to Cite This Entry:**

Universal covering.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Universal_covering&oldid=11638

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article