Reedy categories and the Θ-construction

Julia E. Bergner; Charles Rezk

doi:10.1007/s00209-012-1082-0

Reedy categories and the Θ-construction

Julia E. Bergner, Charles Rezk

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 Θ_n are Reedy categories. We then define elegant Reedy categories, for which we prove that the Reedy and injective model structures coincide.

Original language	English (US)
Pages (from-to)	499-514
Number of pages	16
Journal	Mathematische Zeitschrift
Volume	274
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-012-1082-0
State	Published - Jun 2013

Keywords

Reedy category
Θ-Construction

ASJC Scopus subject areas

General Mathematics

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10.1007/s00209-012-1082-0

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KW - Θ-Construction

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Reedy categories and the Θ-construction

Abstract

Keywords

ASJC Scopus subject areas

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