enriched Reedy category
Model category theory
Producing new model structures
Presentation of -categories
for stable/spectrum objects
for stable -categories
for -sheaves / -stacks
Enriched category theory
The notion of enriched Reedy category is a combination of that of Reedy category and enriched category.
The main motivation for studying Reedy categories is that they induce Reedy model structures on functor categories.
The motivation for studying enriched Reedy categories is that they induced enriched Reedy model structures on enriched functor categories.
Let be a monoidal model category. Let be a -enriched Reedy category and let be a -enriched model category. Write for the enriched functor category.
The enriched Reedy model structure on exists and is a -enriched model category.
(Angeltveit, theorem 4.7).
Enriched Reedy categories were introduced in
The defintion is def. 4.1 there.
Revised on March 28, 2012 04:58:07
by Urs Schreiber