# Multidimensional Persistence: Invariants and Parameterization

@article{Neumann2021MultidimensionalPI, title={Multidimensional Persistence: Invariants and Parameterization}, author={Maximilian Neumann}, journal={ArXiv}, year={2021}, volume={abs/2108.07632} }

This article grew out of my Master’s thesis at the Faculty of Mathematics and Information Science at Ruprecht-Karls-Universität Heidelberg under the supervision of PD Dr. Andreas Ott. The content of this article is mainly based on and inspired by the work of G. Carlsson and A. Zomorodian on the theory of multidimensional persistence in [CZ07] and [CZ09]. Our main goal is to carry out a complete classification and parameterization for the algebraic objects that correspond to the homology of a…

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