Tight span of subsets of the plane with the maximum metric

DOI10.1016/j.aim.2016.05.026zbMath1359.51005arXiv1506.05982OpenAlexW2964084660MaRDI QIDQ305732

Şahin Koçak, Mehmet Kılıç

Publication date: 30 August 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05982

zbMATH Keywords

tight spanhyperconvexityinjective envelopeManhattan plane

Mathematics Subject Classification ID

Metric geometry (51F99) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (max. 100)

An algorithm for the construction of the tight span of finite subsets of the Manhattan plane ⋮ Injective subsets of \(l_{\infty}(I)\) ⋮ Isometry Classes of Planes in $(\mathbb{R}^3,d_{\infty})$ ⋮ Tight span of path connected subsets of the Manhattan plane

Cites Work

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• Optimal realizations of generic five-point metrics
• Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces
• On optimal realizations of finite metric spaces by graphs
• Classification of six-point metrics
• Six theorems about injective metric spaces
• An Introduction to Metric Spaces and Fixed Point Theory
• Metric spaces, convexity and nonpositive curvature

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