论文标题
图形配置空间的部分问题
Section Problems for Graph Configuration Spaces
论文作者
论文摘要
我们考虑,对于有限图$ g $,当过滤映射$ \ mathrm {conf} _ {n+1}(g)\ rightArrow \ mathrm {conf} _n(g)$我们研究答案何时仅取决于$ g $的同拷贝类型,并给出一个完整的答案。我们还提供了构建部分的基本技术。
We consider, for a finite graph $G$, when the surjective map $\mathrm{Conf}_{n+1}(G) \rightarrow \mathrm{Conf}_n(G)$ of configuration spaces admits a section. We study when the answer depends only on the homotopy type of $G$, and give a complete answer. We also provide basic techniques for construction of sections.