# nLab model structure for weak complicial sets

Contents

### 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 ∞-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

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