nLab dg-model category

Redirected from "dg-model structure".

Context

Model category theory

model category, model \infty -category

Definitions

Morphisms

Universal constructions

Refinements

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

Idea

A dg-model category is the analogue of a simplicial model category in the dg-setting. Any dg-model category presents an associated dg-category, as described at dg-category presented by a dg-model category.

Definition

A dg-model structure is a dgmod kdgmod_k-enriched model structure, where dgmod kdgmod_k denotes the category of dg-modules over the base commutative ring kk.

Last revised on January 6, 2015 at 22:41:58. See the history of this page for a list of all contributions to it.