高维同调代数 III：(2-SGp) 中的投射分解与导出 2-函子
范畴论
2010-08-23 v2 高能物理 - 理论
数学物理
K理论与同调
math.MP
摘要
在本文中，我们将通过任意对称 2-群的投射分解来定义导出 2-函子，并给出导出 2-函子的一些相关性质。
引用
@article{arxiv.1007.1555,
title = {Higher Dimensional Homology Algebra III:Projective Resolutions and Derived 2-Functors in (2-SGp)},
author = {Fang Huang and Shao-Han Chen and Wei Chen and Zhu-Jun Zheng},
journal= {arXiv preprint arXiv:1007.1555},
year = {2010}
}
备注
30 pages, 50 figures. This is the third paper of the series of our works on higher dimensional homological algebra. In the coming papers, we define the right derived 2-functor in the 2-categories (2-SGp) and ($\cR$-2-Mod). In this version, we correct some errors in last version, add more results, such as 2-chain homotopy, its related results, etc