Discrete Euler integration over functions on finite categories

DOI10.1016/j.topol.2016.03.012zbMath1353.55013arXiv1508.03691OpenAlexW2963331746MaRDI QIDQ272871

Kohei Tanaka

Publication date: 21 April 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03691

zbMATH Keywords

Euler characteristicposetsfinite categoriessensor networkstheory of integration

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Topological categories, foundations of homotopy theory (55U40)

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Cites Work

• Operations on constructible functions
• Čech complexes for covers of small categories
• The Euler characteristic of a category
• Euler integration over definable functions
• Target Enumeration via Euler Characteristic Integrals
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
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