Interleaved equivalence of categories of persistence modules
Algebraic Topology
2012-10-31 v1 Computational Geometry
Category Theory
Abstract
We demonstrate that an equivalence of categories using -interleavings as a fundamental component exists between the model of persistence modules as graded modules over a polynomial ring and the model of persistence modules as modules over the total order of the real numbers.
Keywords
Cite
@article{arxiv.1210.7913,
title = {Interleaved equivalence of categories of persistence modules},
author = {Mikael Vejdemo-Johansson},
journal= {arXiv preprint arXiv:1210.7913},
year = {2012}
}
Comments
9 pages