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arXiv · 1210.0819

Decomposition of pointwise finite-dimensional persistence modules

William Crawley-Boevey
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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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William Crawley-Boevey. 2012-10-02. Decomposition of pointwise finite-dimensional persistence modules. https://arxiv.org/abs/1210.0819

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