A classification of fibre bundles over 2-dimensional spaces
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 π1(G) = 0, the classification can be given in terms of cohomology groups.
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