Decomposition of pointwise finite-dimensional persistence modules

被引：92

作者：

Crawley-Boevey, William ^{[1
]}

机构：

[1] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2015年 / 14卷 / 05期

关键词：

Persistence module; persistent homology;

D O I：

10.1142/S0219498815500668

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a persistence module (for a totally ordered indexing set) consisting of finite-dimensional vector spaces is a direct sum of interval modules. The result extends to persistence modules with the descending chain condition on images and kernels.

引用

页数：8