Comparison of models for (∞,n)-categories, II

Julia E. Bergner, Charles Rezk

Research output: Contribution to journalArticlepeer-review


In this paper we complete a chain of explicit Quillen equivalences between the model category for (Formula presented.) -spaces and the model category of small categories enriched in (Formula presented.) -spaces. The Quillen equivalences given here connect Segal category objects in (Formula presented.) -spaces, complete Segal objects in (Formula presented.) -spaces, and (Formula presented.) -spaces.

Original languageEnglish (US)
Pages (from-to)1554-1581
Number of pages28
JournalJournal of Topology
Issue number4
StatePublished - Dec 2020


  • 18D05
  • 18D15
  • 18D20
  • 18G30
  • 18G55 (secondary)
  • 55U35
  • 55U40 (primary)

ASJC Scopus subject areas

  • Geometry and Topology


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