\(\varepsilon \)-connectedness, finite approximations, shape theory and coarse graining in hyperspaces

DOI10.1016/j.physd.2008.05.016zbMath1165.54005OpenAlexW2084230705MaRDI QIDQ1000697

Eduardo Cuchillo-Ibanez, Ana Luzón, Manuel Alonso-Morón

Publication date: 10 February 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.05.016

zbMATH Keywords

data analysisshape theoryVietoris-Rips complex\(\varepsilon \)-connectednessAlexandroff-McCord correspondenceupper semifinite hyperspaces

Mathematics Subject Classification ID

Shape theory in general topology (54C56)

Related Items

Polyhedral expansions of compacta associated to finite approximations, On \(p\)-metric spaces and the \(p\)-Gromov-Hausdorff distance, Computational approximations of compact metric spaces, On a finite type multivalued shape, Topological realizations of groups in Alexandroff spaces, Reconstruction of compacta by finite approximations and inverse persistence

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