A classification of fibre bundles over 2-dimensional spaces

Details A classification of fibre bundles over 2-dimensional spaces A classification of fibre bundles over 2-dimensional spaces

1999-11-26

arxiv.org/abs/math/9911217v1

Mathematics

Algebraic Topology

28 pages, Latex, to be published in the Proceedings of the Meeting "New Developments in Algebraic Topology" (July 13-14, 1998,

Scientific paper

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 $\pi_{1}(G) = 0$, the classification can be given in terms of cohomology groups.

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