Abstract of a paper by Taras Banakh and Ivan Hetman
27 Jun
2011
27 Jun
'11
12:27 p.m.
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
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