Representations of spaces

Wojciech Chachólski, Jerome Scherer

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)


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. © 2008 Algebraic & Geometric Topology.
Original languageEnglish
Pages (from-to)245-278
JournalAlgebraic and Geometric Topology
Issue number1
Publication statusPublished - 1 Dec 2008


  • Action of spaces
  • Mapping space
  • Model approximation
  • Model category
  • Monoidal category
  • Monoidal model category


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