##  [Covering Map](/covering-map) 

  ##  [Covering Map](https://mathlogic.quantumdictionary.io/covering-map-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A continuous surjective map p : E -> B such that every point b in B has an open neighborhood U for which p^{-1}(U) is a disjoint union of open sets in E, each mapped homeomorphically onto U; these homeomorphic slices are called sheets and p is called a covering projection.