高阶层论
范畴论
2008-07-31 v4 代数拓扑
摘要
本书的目的有二：一是给出高阶范畴论的一般性导论（使用“拟范畴”或“弱 Kan 复形”的形式体系），二是将这一理论应用于 Grothendieck 层的高阶版本的研宄。书中也包含了一些对经典拓扑的应用。
引用
@article{arxiv.math/0608040,
title = {Higher Topos Theory},
author = {Jacob Lurie},
journal= {arXiv preprint arXiv:math/0608040},
year = {2008}
}
备注
735 pages. An updated and expanded version of the earlier submission math.CT/0306109 2/10/07: Various minor additions and corrections; added some material on combinatorial model categories to the appendix. 3/8/7: Actually uploaded the update this time; added material on fiber products of higher topoi. 7/31/08: Several sections added, others rewritten