Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group
Fundamenta Mathematicae, Tome 153 (1997) no. 2, pp. 154-156
Cet article a éte moissonné depuis 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.
@article{10_4064_fm_153_2_154_156,
author = {R. G\"unter and L. Mdzinarishvili},
title = {Continuous {Alexander{\textendash}Spanier} cohomology classifies principal bundles with {Abelian} structure group},
journal = {Fundamenta Mathematicae},
pages = {154--156},
year = {1997},
volume = {153},
number = {2},
doi = {10.4064/fm-153-2-154-156},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-153-2-154-156/}
}
TY - JOUR AU - R. Günter AU - L. Mdzinarishvili TI - Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group JO - Fundamenta Mathematicae PY - 1997 SP - 154 EP - 156 VL - 153 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/fm-153-2-154-156/ DO - 10.4064/fm-153-2-154-156 LA - en ID - 10_4064_fm_153_2_154_156 ER -
%0 Journal Article %A R. Günter %A L. Mdzinarishvili %T Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group %J Fundamenta Mathematicae %D 1997 %P 154-156 %V 153 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4064/fm-153-2-154-156/ %R 10.4064/fm-153-2-154-156 %G en %F 10_4064_fm_153_2_154_156
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
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