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Aspherical space

22 bytes added, 19:31, 11 May 2008
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{{homotopy-invariant topospace property}}
==Definition==
A [[topological path-connected space]] is termed '''aspherical''' if it possesses a [[universal covering space]], and if its universal covering space is [[weakly contractible space|weakly contractible]] (equivalently the universal covering space is [[acyclic space|acyclic]]; for path-connected simply connected spaces, the two notions are equivalent).
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