Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group
نویسنده
چکیده
We prove that Alexander–Spanier cohomology H(X;G) with coefficients in a topological Abelian group G is isomorphic to the group of isomorphism classes of principal bundles with certain Abelian structure groups. The result holds if either X is a CW-space and G arbitrary or if X is metrizable or compact Hausdorff and G an ANR.
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تاریخ انتشار 2007