# Universal covering

From Encyclopedia of Mathematics

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=42470

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