Presentation of homotopy types under a space

Details Presentation of homotopy types under a space Presentation of homotopy types under a space

2010-05-26

arxiv.org/abs/1005.4810v1

Mathematics

Algebraic Topology

21 pages

Scientific paper

We compare the structure of a mapping cone in the category Top^D of spaces
under a space D with differentials in algebraic models like crossed complexes
and quadratic complexes. Several subcategories of Top^D are identified with
algebraic categories. As an application we show that there are exactly 16
essential self--maps of S^2 x S^2 fixing the diagonal.

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