论文标题
持续的同源性和应用同义理论
Persistent Homology and Applied Homotopy Theory
论文作者
论文摘要
本文是对持续同源性的调查，主要是在拓扑数据分析中使用。它包括持久模块的理论以及持久条形码的稳定定理，广义持久性，持久性条形码的矢量化以及某些应用。
This paper is a survey of persistent homology, primarily as it is used in topological data analysis. It includes the theory of persistence modules, as well as stability theorems for persistence barcodes, generalized persistence, vectorization of persistence barcodes, as well as some applications.
