多参数持续图的 positivity 与瓶颈稳定性
代数拓扑
2021-07-07 v5
摘要
持续同调研究参数化空间族中循环的生与灭。本文中，我们研究链复形多重过滤中循环的生与灭，旨在产生满足瓶颈稳定性的持续图。
引用
@article{arxiv.1905.13220,
title = {Positivity of Multiparameter Persistence Diagrams and Bottleneck Stability},
author = {Alex McCleary and Amit Patel},
journal= {arXiv preprint arXiv:1905.13220},
year = {2021}
}
备注
The claim that Dgm(S^n) is finite is not true. Our second paper "Edit Distance and Persistence Diagrams over Lattice" on multiparameter persistent homology also using the Mobius inversion formula is more to our liking