nLab
model structure on coalgebras over a comonad

Contents

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

Contents

Idea

model category structures on Eilenberg-Moore categories of coalgebras over a comonad.

References

Sufficient conditions for the exstence of a model structure on coalgebras over a comonad are stated as theorem 5.8 in

This refers to the concept of “Postnikov presentation” of model categories due to appendix section 5 of

  • Kathryn Hess, Homotopic Hopf-Galois extensions: foundations and examples, New topological contexts for Galois theory and algebraic geometry (BIRS 2008), Geom. Topol. Monogr., vol. 16, Geom. Topol. Publ., Coventry, 2009, pp. 79–132. MR 2544387 (2010j:55010) (arXiv:0902.3393)

Last revised on March 7, 2017 at 14:40:42. See the history of this page for a list of all contributions to it.