nLab
dg-category presented by a dg-model category

Context

Model category theory

model category

Definitions

Morphisms

Universal constructions

Refinements

Producing new model structures

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

Model structures

for \infty-groupoids

for ∞-groupoids

for nn-groupoids

for \infty-groups

for \infty-algebras

general

specific

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

Idea

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.

Definition

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