Simply connected manifold: Difference between revisions
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==Definition== | ==Definition== | ||
A '''simply connected manifold''' is a [[manifold]] which is [[simply connected space|simply connected]] as a [[topological space]]. In particular, | A '''simply connected manifold''' is a [[manifold]] which is [[simply connected space|simply connected]] as a [[topological space]]. In particular, it is path-connected and connected. | ||
==Relation with other properties== | ==Relation with other properties== | ||
Latest revision as of 15:25, 23 June 2016
This article defines a property of manifolds and hence also of topological spaces
Definition
A simply connected manifold is a manifold which is simply connected as a topological space. In particular, it is path-connected and connected.