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:
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arXiv e-prints
- Pub Date:
- January 2010
- DOI:
- arXiv:
- arXiv:1001.4071
- Bibcode:
- 2010arXiv1001.4071S
- Keywords:
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- Mathematics - Category Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Algebraic Topology