nLab
model structure on semi-simplicial sets

Contents

Context

Model category theory

Idea
References

Idea

There exists the model category structure on the category of semi-simplicial sets which is transferred along the right adjoint of the forgetful functor from the classical model structure on simplicial sets. (van den Berg 13).

But check out this discussion.

References

Benno van den Berg, A note on semisimplicial sets, 2013 (pdf)

Last revised on August 27, 2018 at 04:43:08. See the history of this page for a list of all contributions to it.

nLab
model structure on semi-simplicial sets

Context

Model category theory

Definitions

Morphisms

Universal constructions

Producing new model structures

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

Model structures

for $\infty$ -groupoids

for rational $\infty$ -groupoids

for $n$ -groupoids

for $\infty$ -groups

for $\infty$ -algebras

general

specific

for stable/spectrum objects

for $(\infty,1)$ -categories

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

for $(\infty,1)$ -operads

for $(n,r)$ -categories

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

Contents

Idea

References

nLab model structure on semi-simplicial sets

Context

Model category theory

Definitions

Morphisms

Universal constructions

Refinements

Producing new model structures

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

Model structures

for ∞\infty-groupoids

for rational ∞\infty-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

References

nLab
model structure on semi-simplicial sets

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

for $\infty$ -groupoids

for rational $\infty$ -groupoids

for $n$ -groupoids

for $\infty$ -groups

for $\infty$ -algebras

for $(\infty,1)$ -categories

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

for $(\infty,1)$ -operads

for $(n,r)$ -categories

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