Classifying Spaces and Homology Decompositions
作者： W. G. Dwyer
DOI: 10.1007/978-3-0348-8356-6_1
关键词: Cohomology 、 Relative homology 、 Equivariant map 、 Classifying space 、 Homotopy 、 Simplicial complex 、 Topology 、 Homotopy colimit 、 Mathematics 、 Pure mathematics 、 Homology (mathematics)
摘要: Suppose that G is a finite group. We look at the problem of expressing classifying space BG, up to mod p cohomology, as homotopy colimit spaces smaller groups. A number interesting tools come into play, such simplicial sets and spaces, nerves categories, equivariant theory, transfer.
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