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On neighborhoods of the Kuratowski imbedding beyond the first extremum of the diameter functional

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Publication:3974188
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DOI10.4064/fm-137-3-161-175zbMath0735.46049OpenAlexW951707559MaRDI QIDQ3974188

Mikhail G. Katz

Publication date: 25 June 1992

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/211844


zbMATH Keywords

Banach algebrahomotopy typecomplex projective spacecritical value of the diameter functionalKuratowski isometrical imbedding


Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Banach algebras of continuous functions, function algebras (46J10) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Direct methods ((G)-spaces of Busemann, etc.) (53C70)


Related Items (7)

Geometric Approaches to Persistent Homology ⋮ Metric thickenings and group actions ⋮ On Vietoris-Rips complexes of hypercube graphs ⋮ Vietoris-Rips metric thickenings of the circle ⋮ The persistent topology of optimal transport based metric thickenings ⋮ Vietoris thickenings and complexes have isomorphic homotopy groups ⋮ The rational filling radius of complex projective space




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