nLab dg-category presented by a dg-model category


Model category theory

model category, model \infty -category



Universal constructions


Producing new model structures

Presentation of (,1)(\infty,1)-categories

Model structures

for \infty-groupoids

for ∞-groupoids

for equivariant \infty-groupoids

for rational \infty-groupoids

for rational equivariant \infty-groupoids

for nn-groupoids

for \infty-groups

for \infty-algebras

general \infty-algebras

specific \infty-algebras

for stable/spectrum objects

for (,1)(\infty,1)-categories

for stable (,1)(\infty,1)-categories

for (,1)(\infty,1)-operads

for (n,r)(n,r)-categories

for (,1)(\infty,1)-sheaves / \infty-stacks

Enriched category theory


Any dg-model category MM presents an associated dg-category, whose objects are the cofibrant fibrant objects of MM, and whose mapping complexes are given by the dg-enrichment of MM. This dg-category has the property of being fibrant in the Dwyer-Kan model structure on dg-categories.

This is the analogue of the simplicially enriched category presented by a simplicial model category.


Created on January 6, 2015 at 22:46:21. See the history of this page for a list of all contributions to it.