Geodesic
Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group
Fundamenta Mathematicae, Tome 153 (1997) no. 2, pp. 154-156.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that Alexander-Spanier cohomology $H^n(X;G)$ 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.
DOI : 10.4064/fm-153-2-154-156

R. Günter 1 ; L. Mdzinarishvili 1

1 
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R. Günter; L. Mdzinarishvili. Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group. Fundamenta Mathematicae, Tome 153 (1997) no. 2, pp. 154-156. doi : 10.4064/fm-153-2-154-156. http://geodesic.mathdoc.fr/articles/10.4064/fm-153-2-154-156/

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