Work

Representations of spaces

Year: 2008

Type: article

Abstract: 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.

Source: Algebraic & Geometric Topology

DOI: 10.2140/agt.2008.8.245

Authors: Wojciech Chachólski, Jerome Scherer

Institutions: KTH Royal Institute of Technology, Universitat Autònoma de Barcelona

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Ministerio de Economía y Competitividad, Vetenskapsrådet

Award: Homotopical Localizations and Complications of Spaces