Homotopy theory of higher categories
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.
 Publication:

arXiv eprints
 Pub Date:
 January 2010
 arXiv:
 arXiv:1001.4071
 Bibcode:
 2010arXiv1001.4071S
 Keywords:

 Mathematics  Category Theory;
 Mathematics  Algebraic Geometry;
 Mathematics  Algebraic Topology