Decomposition of pointwise finite-dimensional persistence modules

  title={Decomposition of pointwise finite-dimensional persistence modules},
  author={William Crawley‐Boevey},
  journal={arXiv: Representation Theory},
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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