nLab
topological groupoid

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Definition

General

A topological groupoid is an internal groupoid in the category Top.

So this is a groupoid with a topological space of objects and one of morphisms, and all structure maps (source, target, identity, composition) are continuous maps.

A topological groupoid C is called an open topological groupoid is the source map s:MorC→ObjC is an open map.

It is called an étale groupoid if in addition s is a local homeomorphism.

Created on October 18, 2010 16:54:03 by Urs Schreiber (131.211.232.170)
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