Metric betweenness, Ptolemaic spaces, and isometric embeddings of pretangent spaces in \(\mathbb R\)

DOI10.1007/S10958-012-0726-2zbMath1298.54016OpenAlexW2024243679MaRDI QIDQ690512

Viktoria V. Bilet, Aleksey A. Dovgoshey

Publication date: 28 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0726-2

zbMATH Keywords

metric spacesisometric embeddingspretangent spacesmetric betweennessPtolemaic spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35)

Related Items (1)

A note on generalized four-point inequality

Cites Work

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• Rectifiable sets in metric and Banach spaces
• Ultrametricity and metric betweenness in tangent spaces to metric spaces
• Blow up of balls and coverings in metric spaces
• Betweenness relation and isometric imbeddings of metric spaces
• Metric spaces with unique pretangent spaces. Conditions of the uniqueness
• Erratum to: Nonpositive Curvature and the Ptolemy Inequality
• A Remark on M. M. Day's Characterization of Inner-Product Spaces and a Conjecture of L. M. Blumenthal
• Currents in metric spaces

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