Ptolemaic spaces

DOI10.1134/S0037446611020042zbMath1228.51014OpenAlexW3191475566MaRDI QIDQ546211

Aleksey A. Dovgoshey, Evgenii A. Petrov

Publication date: 24 June 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446611020042

zbMATH Keywords

isoperimetric inequalityexternal problem on a finite spacepseudolinear quadruplePtolemaic space

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General theory of distance geometry (51K05)

Related Items (6)

On quasisymmetric mappings in semimetric spaces ⋮ On a weighted generalization of Kendall's tau distance ⋮ Metrization of weighted graphs ⋮ A note on generalized four-point inequality ⋮ Combinatorial properties of ultrametrics and generalized ultrametrics ⋮ Multi-valued version of \(SCC\), \(SKC\), \(KSC\), and \(CSC\) conditions in Ptolemy metric spaces

Cites Work

• Betweenness relation and isometric imbeddings of metric spaces
• A Remark on M. M. Day's Characterization of Inner-Product Spaces and a Conjecture of L. M. Blumenthal
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