Reedy categories and the Θ-construction

Julia E. Bergner, Charles Rezk

Research output: Contribution to journalArticlepeer-review


We use the notion of multi-Reedy category to prove that, if C is a Reedy category, then ΘC is also a Reedy category. This result gives a new proof that the categories Θn are Reedy categories. We then define elegant Reedy categories, for which we prove that the Reedy and injective model structures coincide.

Original languageEnglish (US)
Pages (from-to)499-514
Number of pages16
JournalMathematische Zeitschrift
Issue number1-2
StatePublished - Jun 2013


  • Reedy category
  • Θ-Construction

ASJC Scopus subject areas

  • General Mathematics


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