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A classification of fibre bundles over 2-dimensional spaces

Yu. A. Kubyshin
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Abstract

The classification problem for principal fibre bundles over two-dimensional CW-complexes is considered. Using the Postnikov factorization for the base space of a universal bundle a Puppe sequence that gives an implicit solution for the classification problem is constructed. In cases, when the structure group $G$ is path-connected or $π_{1}(G) = 0$, the classification can be given in terms of cohomology groups.

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Yu. A. Kubyshin. 1999-11-26. A classification of fibre bundles over 2-dimensional spaces. https://arxiv.org/abs/math/9911217

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