Representations of spaces
2008 (English)In: Algebraic and Geometric Topology, ISSN 1472-2747, E-ISSN 1472-2739, Vol. 8, no 1, 245-278 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2008. Vol. 8, no 1, 245-278 p.
model categories, complexes
IdentifiersURN: urn:nbn:se:kth:diva-17502DOI: 10.2140/agt.2008.8.245ISI: 000255523900009OAI: oai:DiVA.org:kth-17502DiVA: diva2:335546
QC 201005252010-08-052010-08-05Bibliographically approved