Decomposition of pointwise finite-dimensional persistence modules

2015/03/17 by William Crawley-Boevey · 3 citations

paper · doi:10.1142/s0219498815500668

crossref created 2014/08/20 · crossref issued 2015/03/17 · crossref published 2015/03/17 · crossref published-online 2015/03/17 · crossref published-print 2015/06/01 · crossref deposited 2019/08/07 · crossref indexed 2026/08/05

Abstract

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.

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