Notes on Homotopy Colimits and Homotopy Limits (a Work in Progress)
نویسنده
چکیده
14. Diagrams of spaces 68 14.1. The geometric realization and total singular complex functors 68 14.2. Filtered diagrams of simplicial sets 70 14.3. Commuting hocolim and holim: simplicial sets 72 14.4. Commuting hocolim and holim: topological spaces 74 References 75
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Homotopy (limits And) Colimits
These notes were written to accompany two talks given in the Algebraic Topology and Category Theory Proseminar at the University of Chicago in Winter 2009. When a category has some notion of limits and colimits associated to it, its ordinary limits and colimits are not necessarily homotopically meaningful. We describe a notion of a “homotopy colimit” for two sorts of categories with a homotopy ...
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