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Journal Article

Nori diagrams and persistent homology

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Manin,  Yuri I.
Max Planck Institute for Mathematics, Max Planck Society;

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arXiv:1901.10301.pdf
(Preprint), 340KB

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Citation

Manin, Y. I., & Marcolli, M. (2020). Nori diagrams and persistent homology. Mathematics in Computer Science, 14(1), 77-102. doi:10.1007/s11786-019-00422-7.


Cite as: https://hdl.handle.net/21.11116/0000-0006-3E6C-D
Abstract
Recently, it was found that there is a remarkable intuitive similarity
between studies in theoretical computer science dealing with large data sets on
the one hand, and categorical methods of topology and geometry in pure
mathematics, on the other. In this article, we treat the key notion of
persistency from computer science in the algebraic geometric context involving
Nori motivic constructions and related methods. We also discuss model
structures for persistent topology.