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Representations of spaces
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
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
Abstract [en]

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.
Keyword [en]
model categories, complexes
Identifiers
URN: urn:nbn:se:kth:diva-17502DOI: 10.2140/agt.2008.8.245ISI: 000255523900009OAI: oai:DiVA.org:kth-17502DiVA: diva2:335546
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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