Difference between revisions of "Aspherical space"
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Latest revision as of 19:31, 11 May 2008
This article defines a homotopyinvariant property of topological spaces, i.e. a property of homotopy classes of topological spacesView other homotopyinvariant properties of topological spaces OR view all properties of topological spaces
Definition
A pathconnected space is termed aspherical if it possesses a universal covering space, and if its universal covering space is weakly contractible (equivalently the universal covering space is acyclic; for pathconnected simply connected spaces, the two notions are equivalent).