半严格 Tamsamani n-群胚与连通 n-型
代数拓扑
2007-10-03 v2 范畴论
摘要
已知 Tamsamani 弱 n-群胚可建模 n-型。在本文中我们证明，每一个表示连通 n-型的 Tamsamani 弱 n-群胚都在适当意义下等价于一个半严格的此类结构。我们通过比较 Tamsamani 弱 n-群胚与 cat^(n-1)-群作为连通 n-型的模型得到此结果。
引用
@article{arxiv.math/0701655,
title = {Semistrict Tamsamani n-groupoids and connected n-types},
author = {Simona Paoli},
journal= {arXiv preprint arXiv:math/0701655},
year = {2007}
}
备注
77 pages. The paper has undergone major revision from the previous version to improve its presentation. There have been various structural changes, background and informal discussion sections added, and some improvements in the proofs