Embeddings of metric Boolean algebras in \(\mathbb{R}^N\)

DOI10.1016/j.topol.2024.108881arXiv2207.14600OpenAlexW4392697178MaRDI QIDQ6130261

Andrea Loi, Stefano Bonzio

Publication date: 2 April 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14600

zbMATH Keywords

isometric embeddingdiscrete metric spacemetric Boolean algebrapositive probability measure

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Boolean algebras (Boolean rings) (06E99) Geometric embeddings of metric spaces (30L05)

Cites Work

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• Measures on Boolean algebras
• Embedding metric spaces in Euclidean space
• Probability over Płonka sums of Boolean algebras: states, metrics and topology
• A notion of nonpositive curvature for general metric spaces
• Topology and curvature of metric spaces
• Metric Completions of MV-algebras with States: An Approach to Stochastic Independence
• STRICT COHERENCE ON MANY-VALUED EVENTS
• THREE CHARACTERIZATIONS OF STRICT COHERENCE ON INFINITE-VALUED EVENTS
• Algebraic characterizations of measure algebras
• Theory of Random Sets
• Measures in Boolean Algebras
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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