A model for the homotopy theory of homotopy theory

Research output: Contribution to journalArticlepeer-review


We describe a category, the objects of which may be viewed as models for homotopy theories. We show that for such models, "functors between two homotopy theories form a homotopy theory", or more precisely that the category of such models has a well-behaved internal horn-object.

Original languageEnglish (US)
Pages (from-to)973-1007
Number of pages35
JournalTransactions of the American Mathematical Society
Issue number3
StatePublished - 2001
Externally publishedYes


  • Closed model categories
  • Homotopy theory
  • Localization
  • Simplicial spaces

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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