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
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