Difference between revisions of "Simple space"
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===Weaker properties=== | ===Weaker properties=== | ||
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* [[Path-connected space]] | * [[Path-connected space]] | ||
Revision as of 18:15, 2 December 2007
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of 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
