Difference between revisions of "Simple space"
From Topospaces
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* [[Simply connected space]] | * [[Simply connected space]] | ||
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===Weaker properties=== | ===Weaker properties=== | ||
Revision as of 18:31, 11 December 2007
This article defines a homotopy-invariant property of topological spaces, i.e. a property of homotopy classes of topological spacesView other homotopy-invariant properties of topological spaces OR view all properties of topological spaces
Contents
Definition
A topological space is termed simple if it satisfies the following three conditions:
- It is path-connected
- The fundamental group is Abelian
- The fundamental group acts trivially on all the higher homotopy groups
Relation with other properties
Stronger properties
- Simply connected space
- Aspherical space with Abelian fundamental group
