空间的对称积中的排布
组合数学
2007-05-23 v2 代数拓扑
摘要
利用空间图的拓扑技术，我们计算对称积 中形如 的子空间有限排布的并集与补集的同调，其中 。作为一个应用，我们包含了开流形 的同伦端空间的同调计算，其中 是亏格g且穿k个孔的黎曼曲面，该问题最初由对交换 -群的研究所推动。
引用
@article{arxiv.math/0306399,
title = {Arrangements of symmetric products of spaces},
author = {Pavle Blagojevic and Vladimir Grujic and Rade Zivaljevic},
journal= {arXiv preprint arXiv:math/0306399},
year = {2007}
}
备注
This is an updated version of the paper. In this version some results (Proposition 1.7., Theorem 1.8, Theorem 1.9, Theorem 1.11) are now reformulated in the greater generality (over integer coefficients). Moreover, we now interpret Theorems 1.8 and 1.11 as a generalization of classical Steenrod's theorem to the case symmetric products of (simple) diagrams of spaces