nLab model structure on dg-operads

Contents

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

Higher algebra

Contents

Idea

Many general results discussed at model structure on operads are based on the existence of a cocommutative Hopf interval object . In the category of chain complexes – the case for dg-operads – the Hopf interval is not cocommutative, so this case requires special discussion.

References

Created on December 9, 2010 at 14:12:04. See the history of this page for a list of all contributions to it.