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Definition of the cone generated by a convex set in infinite dimensional space

score 1.1k · Answer 1 · 2026-03-27 02:02:47

1.1k

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Definition of the cone generated by a convex set in infinite dimensional space

Published on 27 Mar 2026 - 2:02

score 602 · Answer 2 · 2026-03-29 12:11:16

602

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Conditions when a non-convex set can be represented as the union of a finite number of convex sets

Published on 29 Mar 2026 - 12:11

score 247 · Answer 3 · 2026-03-28 01:13:42

247

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Help understanding a proof of Tverberg Theorem

Published on 28 Mar 2026 - 1:13

score 750 · Answer 4 · 2018-01-10 13:28:47

750

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Boundary of Convex set under Linear transformation

Published on 10 Jan 2018 - 13:28

score 926 · Answer 5 · 2026-03-25 17:43:48

926

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An example of a closed cone whose image under a linear map is not closed?

Published on 25 Mar 2026 - 17:43

score 649 · Answer 6 · 2026-03-27 02:06:50

649

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A simplex is the intersection of closed half spaces

Published on 27 Mar 2026 - 2:06

score 1.3k · Answer 7 · 2011-01-05 04:14:01

1.3k

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Generate roof from a 2D polygon

Published on 05 Jan 2011 - 4:14

score 2.1k · Answer 8 · 2011-08-21 19:42:35

2.1k

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Why do extreme points lie on linearly independent binding hyperplanes?

Published on 21 Aug 2011 - 19:42

score 718 · Answer 9 · 2011-10-06 19:58:19

718

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Prove that the set $\{(x,z)\in X\times \mathbb R \mid g(x)\ge z\}$ is convex

Published on 06 Oct 2011 - 19:58

score 13.2k · Answer 10 · 2012-02-02 02:28:37

13.2k

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Prove that $f:\mathbb R^n\to\mathbb R$ is affine if and only if it is convex and concave

Published on 02 Feb 2012 - 2:28

score 40k · Answer 11 · 2012-12-05 08:52:23

40k

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Proof that the set $\{ x \in R^n | Ax \leq b, Cx = d \}$ is convex

Published on 05 Dec 2012 - 8:52

score 2.4k · Answer 12 · 2026-03-30 05:26:49

2.4k

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Proving that a closed simple polygon in the plane is convex if and only if all the interior angles measure less than or equal to $\pi$ radians

Published on 30 Mar 2026 - 5:26

score 4k · Answer 13 · 2013-02-07 18:12:07

4k

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Prove that $\{\vec x_i\}\subset\mathbb R^d$ is affinely independent iff $\{(1,\vec x_i)\}$ is linearly independent

Published on 07 Feb 2013 - 18:12

score 1.6k · Answer 14 · 2026-03-28 20:22:24

1.6k

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Is the polar set of convex polytope also a polytope?

Published on 28 Mar 2026 - 20:22

score 63 · Answer 15 · 2026-03-28 09:44:09

63

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Fractional Helly for more than one piercing

Published on 28 Mar 2026 - 9:44

List Question

Definition of the cone generated by a convex set in infinite dimensional space

Conditions when a non-convex set can be represented as the union of a finite number of convex sets

Help understanding a proof of Tverberg Theorem

Boundary of Convex set under Linear transformation

An example of a closed cone whose image under a linear map is not closed?

A simplex is the intersection of closed half spaces

Generate roof from a 2D polygon

Why do extreme points lie on linearly independent binding hyperplanes?

Prove that the set $\{(x,z)\in X\times \mathbb R \mid g(x)\ge z\}$ is convex

Prove that $f:\mathbb R^n\to\mathbb R$ is affine if and only if it is convex and concave

Proof that the set $\{ x \in R^n | Ax \leq b, Cx = d \}$ is convex

Proving that a closed simple polygon in the plane is convex if and only if all the interior angles measure less than or equal to $\pi$ radians

Prove that $\{\vec x_i\}\subset\mathbb R^d$ is affinely independent iff $\{(1,\vec x_i)\}$ is linearly independent

Is the polar set of convex polytope also a polytope?

Fractional Helly for more than one piercing

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