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Results tagged with convex-geometry
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user 61785
A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
6
votes
Accepted
Is the preimage of a face under an affine map a face?
The question in the title is not how I'd phrase your question. I'd say what you're asking is "Is the preimage of a face under an affine map a face?", and the answer to that is yes.
The argument is s …
- 3,768
7
votes
Accepted
Equivalence of σ-convex hull and closed convex hull
Wlod AA gave a good counterexample for the case when $K$ is not required to be compact, here I give a counterexample $K$ compact, first in a locally convex space, and then for a(n infinite-dimensional …
- 3,768