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Dans cet article nous caractérisons, par les facettes, l’enveloppe convexe des vecteurs caractéristiques des hyperplans d’un espace projectif fini et d’un espace affine fini.

Enveloppe convexe des hyperplans d'un espace affine fini

Olivier Anglada, Jean François Maurras (2010)

RAIRO - Operations Research

Dans cet article nous caractérisons, par les facettes, l'enveloppe convexe des vecteurs caractéristiques des hyperplans d'un espace projectif fini et d'un espace affine fini.

Equidecomposability and discrepancy; a solution of Tarski's circle-squaring problem

M. Laczkovich (1990)

Journal für die reine und angewandte Mathematik

Equidecomposability of Jordan domains under groups of isometries

M. Laczkovich (2003)

Fundamenta Mathematicae

Let $G_{d}$ denote the isometry group of $ℝ^{d}$ . We prove that if G is a paradoxical subgroup of $G_{d}$ then there exist G-equidecomposable Jordan domains with piecewise smooth boundaries and having different volumes. On the other hand, we construct a system $ℱ_{d}$ of Jordan domains with differentiable boundaries and of the same volume such that $ℱ_{d}$ has the cardinality of the continuum, and for every amenable subgroup G of $G_{d}$ , the elements of $ℱ_{d}$ are not G-equidecomposable; moreover, their interiors are not G-equidecomposable...

Equilibria in a class of games and topological results implying their existence.

R.S. Simon, S. Spiez, H. Torunczyk (2008)

RACSAM

We survey results related to the problem of the existence of equilibria in some classes of infinitely repeated two-person games of incomplete information on one side, first considered by Aumann, Maschler and Stearns. We generalize this setting to a broader one of principal-agent problems. We also discuss topological results needed, presenting them dually (using cohomology in place of homology) and more systematically than in our earlier papers.

Équivalences concernant la séparation de plusieurs cônes convexes

Jacques Bair, Joseph Vangeldère (1980)

Commentationes Mathematicae Universitatis Carolinae

Errata to the paper "Families of convex sets closed under intersection, homotheties and uniting increasing sequences of sets" Fundamenta Mathematicae 120 (1984), pp. 14-40

Marek Lassak (1984)

Fundamenta Mathematicae

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Eigenschaften offener und affiner Mengen in Verbandsstrukturen

Ein Approximationssatz für konvexe Körper.

Ein Lemma über Polynome und seine Anwendungen

Ein Zerlegungssatz für spezielle Eikörperabbildungen in den euklidischen Raum.

Eine hinreichende Bedingung für die Überdeckung des Einheitswürfels durch homothetische Exemplare im n-dimensionalen euklidischen Raum

Eine Verschärfung isoperimetrischer Ungleichungen für Kurven und Polygone

Einige geometrische Aspekte der Bildverarbeitung

Embedded maximal ellipsoids and semi-infinite optimization.

Enveloppe convexe des hyperplans d’un espace affine fini

Enveloppe convexe des hyperplans d'un espace affine fini

Equidecomposability and discrepancy; a solution of Tarski's circle-squaring problem

Equidecomposability of Jordan domains under groups of isometries

Equilibria in a class of games and topological results implying their existence.

Équivalences concernant la séparation de plusieurs cônes convexes

Errata to the paper "Families of convex sets closed under intersection, homotheties and uniting increasing sequences of sets" Fundamenta Mathematicae 120 (1984), pp. 14-40

Estimates for the Minimal Width of Polytopes Inscribed in Convex Bodies.

Euclidean Convexity Cannot be Compactified.

Existence et unicité du maximum d'une forme linéaire sur un ensemble de matrices diagonales

Existence theorems for some optimal control problems

Expectation of Random Polytopes.

Currently displaying 1 – 20 of 24