A "hidden" characterization of polyhedral convex sets
Studia Mathematica (2011)
- Volume: 206, Issue: 1, page 63-74
- ISSN: 0039-3223
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topTaras Banakh, and Ivan Hetman. "A "hidden" characterization of polyhedral convex sets." Studia Mathematica 206.1 (2011): 63-74. <http://eudml.org/doc/285918>.
@article{TarasBanakh2011,
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 ⊂ X∖ C can be hidden behind C in the sense that [x,y]∩ C ≠ ∅ for any distinct x,y ∈ A.},
author = {Taras Banakh, Ivan Hetman},
journal = {Studia Mathematica},
keywords = {polyhedral convex set; hidden set; complete metric vector space},
language = {eng},
number = {1},
pages = {63-74},
title = {A "hidden" characterization of polyhedral convex sets},
url = {http://eudml.org/doc/285918},
volume = {206},
year = {2011},
}
TY - JOUR
AU - Taras Banakh
AU - Ivan Hetman
TI - A "hidden" characterization of polyhedral convex sets
JO - Studia Mathematica
PY - 2011
VL - 206
IS - 1
SP - 63
EP - 74
AB - 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 ⊂ X∖ C can be hidden behind C in the sense that [x,y]∩ C ≠ ∅ for any distinct x,y ∈ A.
LA - eng
KW - polyhedral convex set; hidden set; complete metric vector space
UR - http://eudml.org/doc/285918
ER -
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