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

• Autorzy: Bernd Günther , L. Mdzinarishvili
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55U10: Simplicial sets and complexes
• 55R15: Classification
• 55N05: \v Cech types

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1997
• Tom: 153
• Numer: 2
• Strony: 154-156

Daty

wydano

1997

otrzymano

1996-06-17

Twórcy

autor

Bernd Günther

• Fachbereich Mathematik, Johann Wolfgang Goethe-Universität, Robert-Mayer-Strasse 6-10, 60054 Frankfurt, Germany

autor

L. Mdzinarishvili

• Department of Mathematics, Georgian Technical University, 77 Kostava Street, 380075 Tbilisi, Republic of Georgia

Bibliografia

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• [6] L. Mdzinarishvili, Partially continuous Alexander-Spanier cohomology theory, Grüne Preprintreihe der Universität Heidelberg, Heft 130, 1996.
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