nLab model structure for weak complicial sets

Idea

The notion of weak complicial set is a model for (the omega-nerve of) the notion of weak ∞-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

• Dominic Verity, Weak complicial sets, a simplicial weak omega-category theory. Part I: basic homotopy theory (arXiv:math/0604414).