On convex metric spaces II
W. Nitka (1971)
Fundamenta Mathematicae
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Displaying similar documents to “On convex metric spaces VI”
On convex metric spaces II
On convex metric spaces V
R. Duda (1970)
Fundamenta Mathematicae
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A "hidden" characterization of polyhedral convex sets
Taras Banakh, Ivan Hetman (2011)
Studia Mathematica
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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.
A 2-complex is collapsible if and only if it admits a strongly convex metric
Warren White (1970)
Fundamenta Mathematicae
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On convex metric spaces I
A. Lelek, W. Nitka (1961)
Fundamenta Mathematicae
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Characterizing the 3-cell by its metric
Dale Rolfsen (1970)
Fundamenta Mathematicae
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Metrically convex functions in normed spaces
Stanisław Kryński (1993)
Studia Mathematica
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Properties of metrically convex functions in normed spaces (of any dimension) are considered. The main result, Theorem 4.2, gives necessary and sufficient conditions for a function to be metrically convex, expressed in terms of the classical convexity theory.
Families of convex sets closed under intersections, homotheties and uniting increasing sequences of sets
Marek Lassak (1984)
Fundamenta Mathematicae
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Cubical 2-complexes with the 8-property admit a strongly convex metric.
Andrica, Dorin, Lazar, Ioana-Claudia (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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LNC points for m-convex sets.
Breen, Marilyn (1981)
International Journal of Mathematics and Mathematical Sciences
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Convex cones and convex sets
Nachbin, Leopoldo (1993)
Portugaliae mathematica
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