AbstractIn this paper we show that Minty's lemma can be used to prove the Hahn-Banach theorem as well as other theorems in this class such as Radon's and Helly's theorem for oriented matroids having an intersection property which guarantees that every pair of flats intersects in some point extension O ∪ p of the oriented matroid O
AbstractWe prove that a finite family A of compact connected sets inRdhas a hyperplane transversal i...
SIGLEBibliothek Weltwirtschaft Kiel C137812 / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Techn...
We give a version for oriented matroids of the following problem of McMullen: ‘Determine the largest...
AbstractIn this paper we show that Minty's lemma can be used to prove the Hahn-Banach theorem as wel...
AbstractThere are matroids which have Euclidean and non-Euclidean orientations and there are also ma...
AbstractWe generalize to oriented matroids classical notions of Convexity Theory: faces of convex po...
AbstractIntrinsic characterizations of the faces of a matroid polytope from various subcollections o...
AbstractIn this paper, the basic properties of oriented matroids are examined. A topological represe...
We show that the usual polarity properties of the face lattices of convex polytopes do not extend to...
Available from Bibliothek des Instituts fuer Weltwirtschaft, ZBW, Duesternbrook Weg 120, D-24105 Kie...
Let M(E,O) be an oriented matroid. We say that {A, E\A} is a non-Radon partition of M if OA¯=OE\A¯ i...
AbstractAfter a brief discussion of the axiom systems for oriented matroids we consider two basic ty...
In chapter 2, we study a special decomposition intoduced by Lafforgue. More precisely, let P(M) be t...
AbstractTwo elements in an oriented matroid are inseparable if they have either the same sign in eve...
The separation theorem of Kirchberger can be proven using a combination of Farkas' Lemma and Carathe...
AbstractWe prove that a finite family A of compact connected sets inRdhas a hyperplane transversal i...
SIGLEBibliothek Weltwirtschaft Kiel C137812 / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Techn...
We give a version for oriented matroids of the following problem of McMullen: ‘Determine the largest...
AbstractIn this paper we show that Minty's lemma can be used to prove the Hahn-Banach theorem as wel...
AbstractThere are matroids which have Euclidean and non-Euclidean orientations and there are also ma...
AbstractWe generalize to oriented matroids classical notions of Convexity Theory: faces of convex po...
AbstractIntrinsic characterizations of the faces of a matroid polytope from various subcollections o...
AbstractIn this paper, the basic properties of oriented matroids are examined. A topological represe...
We show that the usual polarity properties of the face lattices of convex polytopes do not extend to...
Available from Bibliothek des Instituts fuer Weltwirtschaft, ZBW, Duesternbrook Weg 120, D-24105 Kie...
Let M(E,O) be an oriented matroid. We say that {A, E\A} is a non-Radon partition of M if OA¯=OE\A¯ i...
AbstractAfter a brief discussion of the axiom systems for oriented matroids we consider two basic ty...
In chapter 2, we study a special decomposition intoduced by Lafforgue. More precisely, let P(M) be t...
AbstractTwo elements in an oriented matroid are inseparable if they have either the same sign in eve...
The separation theorem of Kirchberger can be proven using a combination of Farkas' Lemma and Carathe...
AbstractWe prove that a finite family A of compact connected sets inRdhas a hyperplane transversal i...
SIGLEBibliothek Weltwirtschaft Kiel C137812 / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Techn...
We give a version for oriented matroids of the following problem of McMullen: ‘Determine the largest...
DOI
Add to ORKG