Comparing homotopy categories

Research output: Contribution to journalArticlepeer-review


Given a suitable functor T : → between model categories, we define a long exact sequence relating the homotopy groups of any X ε with those of TX, and use this to describe an obstruction theory for lifting an object G ε to. Examples include finding spaces with given homology or homotopy groups.

Original languageEnglish
Pages (from-to)169-205
Number of pages37
JournalJournal of K-Theory
Issue number1
StatePublished - Aug 2008


  • homotopical algebra
  • model category
  • obstruction theory
  • realization

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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