This is an announcement for the paper "A hidden characterization of polyhedral convex sets" by Taras Banakh and Ivan Hetman.

Abstract: We prove that a closed convex subset $C$ of a complete linear metric space $X$ is polyhedral in its closed linear hull if and only if no infinite subset $A\subset X\backslash C$ can be hidden behind $C$ in the sense $[x,y]\cap C\not = \emptyset$ for any distinct points $x,y\in A$.

Archive classification: math.FA math.CO

Mathematics Subject Classification: 46A55, 52B05, 52A07, 52A37

Remarks: 8 pages

Submitted from: tbanakh@yahoo.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1106.2227

or

http://arXiv.org/abs/1106.2227