Covering space
Type of continuous map in topology
Covering space
In topology, a covering or covering projection is a continuous function between topological spaces that, intuitively, locally acts like a projection of multiple copies of a space onto itself. In particular, coverings are special types of local homeomorphisms. If p : X ~ → X {\displaystyle p:{\tilde {X}}\to X} is a covering, ( X ~ , p ) {\displaystyle ({\tilde {X}},p)} is said to be a covering space or cover of X {\displaystyle X} , and X {\displaystyle X} is said to be the base of the covering, or simply the base. By abuse of terminology,...
Read on Wikipedia · Image Covering space diagram.jpg: Wordslaugh derivative work: Splintercellguy (talk), CC BY-SA 3.0
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