Kunneth Theorems for Vietoris-Rips Homology
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Publication:6348956
DOI10.1007/S10474-022-01220-7arXiv2009.05833WikidataQ113904564 ScholiaQ113904564MaRDI QIDQ6348956
Antonio Rieser, Alejandra Trujillo-Negrete
Publication date: 12 September 2020
Abstract: We prove a Kunneth theorem for the Vietoris-Rips homology and cohomology of a semi-uniform space. We then interpret this result for graphs, where we show that the Kunneth theorem holds for graphs with respect to the strong graph product. We finish by computing the Vietoris-Rips cohomology of the torus endowed with diferent semi-uniform structures.
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)
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