Higher Topos Theory
简介：
较高的类别理论通常被认为是技术性的和令人生畏的，但是其中的一部分更容易处理: 无限类别的理论，即假定所有较高的态射都是可逆的较高类别。本书使用Boardman和Vogt介绍的弱Kan复合体的语言介绍了该理论的基础，并展示了如何在该理论的新语言中重新表述和推广代数拓扑中的现有定理。结果是一个强大的理论，在许多数学领域都有应用。
英文简介：
Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible.
This book presents the foundations of this theory, using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language. The result is a powerful theory with applications in many areas of mathematics.
- 书名
- Higher Topos Theory
- 译名
- 高阶拓扑斯理论
- 语言
- 英语
- 年份
- 2009
- 页数
- 949页
- 大小
- 4.53 MB
- 下载
Higher Topos Theory.pdf- 密码
- 65536
最后更新：2025-04-12 23:57:46