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  Nori diagrams and persistent homology

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-3E6C-D Version Permalink: https://hdl.handle.net/21.11116/0000-0006-3E6D-C
Genre: Journal Article

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https://doi.org/10.1007/s11786-019-00422-7 (Publisher version)
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 Creators:
Manin, Yuri I.1, Author           
Marcolli, Matilde, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry
 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.

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Language(s): -
 Dates: 2020
 Publication Status: Issued
 Pages: 26
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1901.10301
URI: http://arxiv.org/abs/1901.10301
DOI: 10.1007/s11786-019-00422-7
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Title: Mathematics in Computer Science
  Abbreviation : Math.Comput.Sci.
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 14 (1) Sequence Number: - Start / End Page: 77 - 102 Identifier: -