Künneth theorems for Vietoris-Rips homology

DOI10.1007/s10474-022-01220-7OpenAlexW3086988959WikidataQ113904564 ScholiaQ113904564MaRDI QIDQ2151105

Yanyan Li

Publication date: 30 June 2022

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05833

zbMATH Keywords

cohomologyhomologyhomotopyKünneth formula

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Graph theory (05C99) Simplicial sets and complexes in algebraic topology (55U10) Other homology theories in algebraic topology (55N35) Products and intersections in homology and cohomology (55N45) Homology of a product, Künneth formula (55U25)

Cites Work

• Homologies of digraphs and Künneth formulas
• The Vietoris-Rips complexes of a circle
• Homology groups of relations
• On Products of Complexes
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