稳定无穷范畴
范畴论
2009-05-08 v5 代数拓扑
摘要
本文是关于稳定无穷范畴理论的一篇综述。我们证明稳定无穷范畴的同伦范畴是三角化的，并且稳定无穷范畴的集合在多种构造下是封闭的。我们还解释了如何将一个 Abel 范畴（具有足够投射对象）的导出范畴构造为某个合适稳定无穷范畴的同伦范畴；此外，我们用一个泛映射性质刻画了这个稳定无穷范畴。
引用
@article{arxiv.math/0608228,
title = {Stable Infinity Categories},
author = {Jacob Lurie},
journal= {arXiv preprint arXiv:math/0608228},
year = {2009}
}
备注
73 Pages; corrected some minor typographical and mathematical errors 2/10/07: added material on filtered objects and spectral sequences. 9/19/07: various minor changes. 5/8/9: Some of the material on constructing stabilizations has been made more explicit