View source for Topological covering space

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==Definition==
Let {{Top.|X|J}} be a [[topological space]]. We say "{{M|X}} is ''covered by'' {{M|E}}" or "{{M|E}} is a ''covering space'' for {{M|X}}" if{{rITTGG}}:
# {{Top.|E|H}} is a topological space itself; and
# there exists a [[Covering map (topology)|covering map]]<sup>or: [[#Covering map (topology)|bellow]]</sup> of the form: {{M|p:E\rightarrow X}}
===[[Covering map (topology)|Covering map]]===
{{:Covering map (topology)/Definition}}
==See next==
* [[Lifting of a continuous map through a covering map]]
==See also==
* {{link|Covering map|topology}}
** may have some useful information on it! {{XXX|Pertaining to properties of the covering map itself}} - should they be reproduced here? [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 01:35, 26 February 2017 (UTC)
** {{link|Evenly covered|topology}}
==References==
<references/>
{{Definition|Topology|Algebraic Topology|Homotopy Theory}}