# Homotopy theory of higher categories

1 JAD - Laboratoire Jean Alexandre Dieudonné

Abstract : This is the first draft of a book about higher categories approached by iterating Segal-s method, as in Tamsamani-s definition of $n$-nerve and Pelissier-s thesis. If $M$ is a tractable left proper cartesian model category, we construct a tractable left proper cartesian model structure on the category of $M$-precategories. The procedure can then be iterated, leading to model categories of $\infty , n$-categories.

Author: Carlos Simpson -

Source: https://hal.archives-ouvertes.fr/