COVERINGSPACE

Covering space

In mathematics, more specifically algebraic topology, a covering map is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p ; the precise definition is given below. In this case, C is called a covering space and X the base space of the covering projection. The definition implies that every covering map is a local homeomorphism.

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covering space

Noun

  1. A map from a topological space onto another by local homeomorphisms of disjoint preimages.
  2. The space so mapped.


The above text is a snippet from Wiktionary: covering space
and as such is available under the Creative Commons Attribution/Share-Alike License.

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