nLab Segal n-category

Idea

The notion of Segal $n$-category is a model for (∞,n)-categories via $n$-fold iterated (∞,1)-enrichment. It is the higher analog of the notion of Segal categories,

References

The model structure for Segal $n$-categories was introduced in

• André Hirschowitz, Carlos Simpson, Descente pour les $n$-champs (Descent for $n$-stacks) (arXiv:9807049)

Further developments are in

• Carlos Simpson, Homotopy Theory of Higher Categories (arXiv:1001.4071)

and in section 2 of

• Jacob Lurie, (Infinity,2)-Categories and the Goodwillie Calculus I (arXiv:0905.0462)