1Ivan Franko National University of Lviv Ukraine and Jan Kochanowski University Kielce, Poland 2Ivan Franko National University of Lviv Universytetska 1 Lviv, 79000, Ukraine
Studia Mathematica, Tome 206 (2011) no. 1, pp. 63-74
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 $A\subset X\setminus C$ can be hidden behind $C$ in the sense that $[x,y]\cap C\not =
\emptyset $ for any distinct $x,y\in A$.
Keywords:
prove closed convex subset complete linear metric space polyhedral its closed linear hull only infinite subset subset setminus hidden behind sense cap emptyset distinct
Affiliations des auteurs :
Taras Banakh
1
;
Ivan Hetman
2
1
Ivan Franko National University of Lviv Ukraine and Jan Kochanowski University Kielce, Poland
2
Ivan Franko National University of Lviv Universytetska 1 Lviv, 79000, Ukraine
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Taras Banakh; Ivan Hetman. A “hidden” characterization of
polyhedral convex sets. Studia Mathematica, Tome 206 (2011) no. 1, pp. 63-74. doi: 10.4064/sm206-1-5
