图的proper homotopy equivalence的复杂性
逻辑
2025-11-13 v2 一般拓扑
几何拓扑
摘要
我们证明了局部有限图的proper homotopy等价关系是博尔完备的。此外，在无限图中存在一个稠密等价类。作为推论，我们获得了具有裤子分解的非紧致曲面的homeomorphism等价关系的类似结果。
关键词
引用
@article{arxiv.2410.00901,
title = {The Complexity of Proper Homotopy Equivalence of Graphs},
author = {Hannah Hoganson and Jenna Zomback},
journal= {arXiv preprint arXiv:2410.00901},
year = {2025}
}
备注
Added an appendix proving that the association of the endspace pair to a graph is Borel. 17 pages, 10 figures