持久同调的代数与计算：阐释
代数拓扑
2024-08-16 v1
摘要
我们讨论了持久同调的矩阵约化算法背后的代数，如Afra Zomorodian和Gunnar Carlsson在论文《Computing Persistent Homology》中所呈现的，并从更现代的视角——将持久模视为从偏序集范畴到域上向量空间范畴的函子——来审视这一算法，这一现代刻画被Peter Bubenik、Frederik Chazal和Ulrich Bauer等作者所采用。
引用
@article{arxiv.2408.07899,
title = {An Exposition on the Algebra and Computation of Persistent Homology},
author = {Jason Ranoa},
journal= {arXiv preprint arXiv:2408.07899},
year = {2024}
}
备注
Expository Paper for MS Degree in Math at Oregon State University. Edited by Dr. Christine Escher (advisor)