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arXiv · 1811.08946

Decomposition of persistence modules

Magnus Bakke Botnan·William Crawley-Boevey
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Abstract

We show that a pointwise finite-dimensional persistence module indexed over a small category decomposes into a direct sum of indecomposables with local endomorphism rings. As an application of this result we give new, short proofs of fundamental structure theorems for persistence modules.

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Magnus Bakke Botnan, William Crawley-Boevey. 2018-11-21. Decomposition of persistence modules. https://arxiv.org/abs/1811.08946

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