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- Title
Reedy categories and the $$\varTheta $$-construction.
- Authors
Bergner, Julia; Rezk, Charles
- Abstract
We use the notion of multi-Reedy category to prove that, if $$\mathcal C $$ is a Reedy category, then $$\varTheta \mathcal C $$ is also a Reedy category. This result gives a new proof that the categories $$\varTheta _n$$ are Reedy categories. We then define elegant Reedy categories, for which we prove that the Reedy and injective model structures coincide.
- Subjects
MATHEMATICAL models; MATHEMATICAL analysis; INJECTIVE functions; INJECTIVE modules (Algebra); MODULES (Algebra)
- Publication
Mathematische Zeitschrift, 2013, Vol 274, Issue 1/2, p499
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-012-1082-0