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ArticleOriginal scientific text

Title

Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group

Authors 1, 2

Affiliations

  1. Fachbereich Mathematik, Johann Wolfgang Goethe-Universität, Robert-Mayer-Strasse 6-10, 60054 Frankfurt, Germany
  2. Department of Mathematics, Georgian Technical University, 77 Kostava Street, 380075 Tbilisi, Republic of Georgia

Abstract

We prove that Alexander-Spanier cohomology Hn(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.

Bibliography

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Fundamenta Mathematicae
1997/153/2
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Pages:
154-156
Main language of publication
English
Received
1996-06-17
Published
1997
Exact and natural sciences