Homotopy theory of higher categories

Details Homotopy theory of higher categories Homotopy theory of higher categories

2010-01-22

arxiv.org/abs/1001.4071v1

Mathematics

Category Theory

Scientific paper

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.

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