nLab model structure for weak complicial sets

Context

Higher category theory

higher category theory

model category

for ∞-groupoids

Contents

Idea

The notion of weak complicial set is a model for (the omega-nerve of) the notion of weak ω-category. The model structure for weak $\omega$-categories is a model category structure on the category of stratified simplicial sets, such that cofibrant-fibrant objects are precisely the weak complicial sets. This model structure may therefore be understood as a presentation of the (∞,1)-category of weak $\omega$-categories.

References

Section 6 of

Revised on November 10, 2014 20:41:13 by Urs Schreiber (86.212.18.175)