On braxtopes, a class of generalized simplices.
Bayer, Margaret M., Bisztriczky, Tibor (2008)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Closures of faces of compact convex sets”
On braxtopes, a class of generalized simplices.
The intersection of convex transversals is a convex polytope.
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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...
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L’article décrit la construction (dans l’espace de Hilbert ) d’un simplexe (terminologie de Choquet) compact qui est la fermeture de l’ensemble de ses points extrémaux.
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Juan Francisco Verdegay-López, Serafín Moral (2001)
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This paper studies the problem of marginalizing convex polytopes of probabilities represented by a set of constraints. This marginalization is obtained as a special case of projection on a specific subspace. An algorithm that projects a convex polytope on any subspace has been built and the expression of the subspace, where the projection must be made for obtaining the marginalization, has been calculated.