Helly's theorem

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Proof

Radon's theorem Finite intersection property Compactness Induction Convex hull

7 related topics

Statement

Compact Cardinality

2 related topics

Overview

Discrete geometry Intersection Convex sets Eduard Helly König (1922)

6 related topics

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Overview

Discrete geometry
Intersection Intersection (set theory)
Convex sets Convex set
Eduard Helly
König (1922) Helly's theorem
Helly family

Statement

Compact Compact set
Cardinality

Proof

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Nodes19

Edges18

Triples48

Avg. degree1.89

Density0.105263

Components1

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Helly's theorem

Top relations

related to References · 42

Helly's theorem → American Mathematical Society, Amsterdam, Applicable Geometry, BF01215899, BF01464231, Bollobás, Cambridge University Press, Carathéodory, Coffee Time, Convex Geometry, Convexity, Danzer, Deutschen Mathematiker-Vereinigung, Eckhoff, Grünbaum, Handbook, Heinrich Guggenheimer, Helly, Helly's, Huntington ISBN

related to Colorful Helly theorem · 5

Helly's theorem → Helly, Helly's, If, Rd, The

is a · 1

Helly's theorem → basic result in discrete geometry on the intersection of convex sets

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Important terminology

intersection sets theorem convex collection every helly displaystyle xj helly's proof subsets nonempty mathcal xn one radon x1 finite collections

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Helly's theorem	is a	basic result in discrete geometry on the intersection of convex sets	0.90	text
Helly's theorem	related to Colorful Helly theorem	The	0.60	section
Helly's theorem	related to Colorful Helly theorem	Helly	0.60	section
Helly's theorem	related to Colorful Helly theorem	Helly's	0.60	section
Helly's theorem	related to Colorful Helly theorem	Rd	0.60	section
Helly's theorem	related to Colorful Helly theorem	If	0.60	section
Helly's theorem	related to References	Bollobás	0.60	section
Helly's theorem	related to References	Problem	0.60	section
Helly's theorem	related to References	Intersecting Convex Sets	0.60	section
Helly's theorem	related to References	The Art	0.60	section
Helly's theorem	related to References	Mathematics	0.60	section
Helly's theorem	related to References	Coffee Time	0.60	section

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Helly's theorem

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Helly's theorem

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Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges