Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options not deleted user 32507

Convex polytopes are the convex hulls of a finite set of points in Euclidean spaces. They have rich combinatorial, arithmetic, and metrical theory, and are related to toric varieties and to linear programming

2 votes
Accepted

A converse question about the polyhedrality under linear mapping

I think we can argue as in https://mathoverflow.net/a/423284/32507 to answer the question in the affirmative. Let $\mathcal R_K(x)$ be the radial cone of $K$ at $x$ (as defined in the other answer). F …
gerw's user avatar
  • 1,724
0 votes

On faces of polytopes

The set $K_A$ is essentially a polar of $A$. Indeed, we have $$ A = \{ x \in \mathbb R^n \mid l(x) \ge t \; \forall (l,t) \in K_A\} =: B.$$ The inclusion "$\subset$" is clear and in order to check "$\ …
gerw's user avatar
  • 1,724
4 votes
1 answer
158 views

Lifting of a spherical graph

Let us be given a topological graph $G$ on the unit sphere in $\mathbb{R}^3$ whose edges are minor arcs of great circles. We suppose that the graph is $3$-vertex-connected and that a pair of edges may …
gerw's user avatar
  • 1,724