# 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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