Representations of Spaces

Details Representations of Spaces Representations of Spaces

2005-11-23

arxiv.org/abs/math/0511577v2

Mathematics

Algebraic Topology

Final version, almost as it will appear in "Algebraic and Geometric Topology"; 30 pages

Scientific paper

We explain how the notion of homotopy colimits gives rise to that of mapping spaces, even in categories which are not simplicial. We apply the technique of model approximations and use elementary properties of the category of spaces to be able to construct resolutions. We prove that the homotopy category of any monoidal model category is always a central algebra over the homotopy category of Spaces.

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