Helly's, Radon's, and Caratheodory's theorems are the basic theorems of convex analysis and have an important place. These theorems have been studied by different authors for different classes of convexity. Caratheodory's theorem for B-1-convex sets has been proved before by Adilov and Yes , ilce. In this article, Helly's and Radon's theorems are discussed and examined for these sets
In this paper we present a variety of problems in the interface between combinatorics and geometry a...
We study S-convex sets, which are the geometric objects obtained as the intersection of the usual co...
AbstractA set K of vertices in a connected graph is M-convex if and only if for every pair of vertic...
Eduard Helly (18$4- 1943) discovered his famous theorem concerning the intersection of certain famil...
In 1966 H. Tverberg gave a far reaching generalization of the well-known classical theorem of J. Rad...
The Carathéodory, Helly, and Radon numbers are three main invariants in convexity theory. These inva...
AbstractVarious relations between the dimension and the classical invariants of a topological convex...
Abstract. In the special case of segment spaces (convexity spaces whose Carathéodory number c equal...
The Carathéodory, Helly, and Radon numbers are three main invariants in convexity theory. They relat...
AbstractA set K of vertices in a connected graph is M-convex if and only if for every pair of vertic...
The present study on some infinite convex invariants. The origin of convexity can be traced back to...
Nous montrons que pour toute définition raisonnable d'une convexité sur un graphe G (les ensembles c...
AbstractThis paper is motivated by the desire to evaluate certain classical convexity invariants (sp...
AbstractThe classical Helly’s Theorem about finite sets of convex sets is given an unusually simple ...
AbstractVarious relations between the dimension and the classical invariants of a topological convex...
In this paper we present a variety of problems in the interface between combinatorics and geometry a...
We study S-convex sets, which are the geometric objects obtained as the intersection of the usual co...
AbstractA set K of vertices in a connected graph is M-convex if and only if for every pair of vertic...
Eduard Helly (18$4- 1943) discovered his famous theorem concerning the intersection of certain famil...
In 1966 H. Tverberg gave a far reaching generalization of the well-known classical theorem of J. Rad...
The Carathéodory, Helly, and Radon numbers are three main invariants in convexity theory. These inva...
AbstractVarious relations between the dimension and the classical invariants of a topological convex...
Abstract. In the special case of segment spaces (convexity spaces whose Carathéodory number c equal...
The Carathéodory, Helly, and Radon numbers are three main invariants in convexity theory. They relat...
AbstractA set K of vertices in a connected graph is M-convex if and only if for every pair of vertic...
The present study on some infinite convex invariants. The origin of convexity can be traced back to...
Nous montrons que pour toute définition raisonnable d'une convexité sur un graphe G (les ensembles c...
AbstractThis paper is motivated by the desire to evaluate certain classical convexity invariants (sp...
AbstractThe classical Helly’s Theorem about finite sets of convex sets is given an unusually simple ...
AbstractVarious relations between the dimension and the classical invariants of a topological convex...
In this paper we present a variety of problems in the interface between combinatorics and geometry a...
We study S-convex sets, which are the geometric objects obtained as the intersection of the usual co...
AbstractA set K of vertices in a connected graph is M-convex if and only if for every pair of vertic...
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