Some intersection and generation properties of convex sets
Robert E. Jamison (1977)
Compositio Mathematica
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Displaying similar documents to “The space of maximal convex sets”
Some intersection and generation properties of convex sets
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Marek Lassak (1984)
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Dimension of convex hyperspaces : nonmetric case
M. Van de Vel (1983)
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M. Changat, A. Vijayakumar (1992)
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On Bárány's theorems of Carathéodory and Helly type
Ehrhard Behrends (2000)
Studia Mathematica
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The paper begins with a self-contained and short development of Bárány’s theorems of Carathéodory and Helly type in finite-dimensional spaces together with some new variants. In the second half the possible generalizations of these results to arbitrary Banach spaces are investigated. The Carathéodory-Bárány theorem has a counterpart in arbitrary dimensions under suitable uniform compactness or uniform boundedness conditions. The proper generalization of the Helly-Bárány theorem reads...
Dimension of convex hyperspaces
M. van de Vel (1984)
Fundamenta Mathematicae
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Ryszard Urbanski (1997)
Collectanea Mathematica
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In this paper the notion of convex pairs of convex bounded subsets of a Hausdorff topological vector space is introduced. Criteria of convexity pair are proved.
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Marek Lassak (1984)
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Convex cones and convex sets
Nachbin, Leopoldo (1993)
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