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Tight span

In metric geometry, the metric envelope or tight span of a metric space M is an injective metric space into which M can be embedded. In some sense it consists of all points "between" the points of M, analogous to the convex hull of a point set in a Euclidean space. The tight span is also sometimes known as the injective envelope or hyperconvex hull of M.…

Applications, Basic properties and examples & Overview

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Explore the main themes, entities and connections around Tight span. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Definition

Basic properties and examples

Examples

Dimension of the tight span when X is finite

Alternative definitions

Applications

Advanced semantic analysis

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Map overview Semantic statistics

Tight span

Nodes42
Edges41
Triples40
Avg. degree1.95
Density0.047619
Components1

How this topic connects Entity context

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Tight span

Top relations

related to Examples · 14
Tight span → Add, Any, But, Caption, Cf, Conversely, However, If, Manhattan, Manhattan-metric, Say, The, Then, To
has application · 8
Tight span → Chepoi, Dress, Huber, K-server, Moulton, Sturmfels, The, Yu
related to Alternative definitions · 8
Tight span → An, Banach, Develin, Erratum Develin, Holsztyński, However, Sturmfels, This
related to Dimension of the tight span when X is finite · 4
Tight span → Develin, On, RX, The
related to Definition · 3
Tight span → For, Let, The
related to External links · 3
Tight span → Joswig, Michael, Tight

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

displaystyle tight span metric space hull function first extremal requirement every point convex hyperconvex points injective leq infty set sup

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Tight spanhas applicationDress0.60section
Tight spanhas applicationHuber0.60section
Tight spanhas applicationMoulton0.60section
Tight spanhas applicationThe0.60section
Tight spanhas applicationK-server0.60section
Tight spanhas applicationSturmfels0.60section
Tight spanhas applicationYu0.60section
Tight spanhas applicationChepoi0.60section
Tight spanrelated to Alternative definitionsAn0.60section
Tight spanrelated to Alternative definitionsHolsztyński0.60section
Tight spanrelated to Alternative definitionsBanach0.60section
Tight spanrelated to Alternative definitionsThis0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

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    Min side: 3
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