Vortex Nerves and their Proximities. Nerve Betti Numbers and Descriptive Proximity

zbMath1450.54012arXiv1910.08467MaRDI QIDQ5219108

James F. Peters

Publication date: 6 March 2020

Full work available at URL: https://arxiv.org/abs/1910.08467

zbMATH Keywords

shapehomotopy typeholeBetti numberCW complexdescriptive proximityvortex nerveEdelsbrunner-Harer nerveproximal vortex cycleproximal vortex nerve

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Proximity structures and generalizations (54E05) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Topological (K)-theory (55N15) Shapes (aspects of topological manifolds) (57N25) Computational methods for problems pertaining to manifolds and cell complexes (57-08)

Related Items (3)

Fixed point property of amenable planar vortexes ⋮ Approximate inverse limits and (m,n)-dimensions ⋮ Good coverings of proximal Alexandrov spaces. Path cycles in the extension of the Mitsuishi-Yamaguchi good covering and Jordan Curve Theorems

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