Add to ORKGWe show that a subset C of the euclidean space which agrees with the closure of its interior is convex if and only if for everyconvex body D which meets its interior it is possibleto control, in a suitable way, the distance of a point from the intersection between C and D by means of its respectivedistances from C and D
In this note we introduce a notion of essentially-Euclidean normed spaces (and convex bodies). Rough...
summary:If $X$ is a convex surface in a Euclidean space, then the squared intrinsic distance functi...
We study questions concerning convexity and the existence of the nearest point for a given set in sp...
We show that a subset C of the euclidean space which agrees with the closure of its interior is conv...
Abstract. We consider two different notions of convexity of metric spaces, namely (strict/uniform) b...
In this paper we discuss three results. The first two concern general sets of positive reach: we fir...
International audienceIn this paper we discuss three results. The first two concern general sets of ...
International audienceIn this paper we discuss three results. The first two concern general sets of ...
The goal of this thesis is to discuss the Hausdorff Distance and prove that the metric space SX , w...
AbstractBusemann's theorem states that the intersection body of an origin-symmetric convex body is a...
The notion of strict convexity in metric spaces was introduced in [1] and certain existence and uniq...
AbstractWe study isomorphic properties of two generalizations of intersection bodies – the class Ikn...
Abstract. Let C ⊂ Rn be a convex body. We introduce two notions of convexity associated to C. A set ...
AbstractIn this paper the concepts of strictly convex and uniformly convex normed linear spaces are ...
We review some basic results of convex analysis and geometry in Rn in the context of formulating a d...
In this note we introduce a notion of essentially-Euclidean normed spaces (and convex bodies). Rough...
summary:If $X$ is a convex surface in a Euclidean space, then the squared intrinsic distance functi...
We study questions concerning convexity and the existence of the nearest point for a given set in sp...
We show that a subset C of the euclidean space which agrees with the closure of its interior is conv...
Abstract. We consider two different notions of convexity of metric spaces, namely (strict/uniform) b...
In this paper we discuss three results. The first two concern general sets of positive reach: we fir...
International audienceIn this paper we discuss three results. The first two concern general sets of ...
International audienceIn this paper we discuss three results. The first two concern general sets of ...
The goal of this thesis is to discuss the Hausdorff Distance and prove that the metric space SX , w...
AbstractBusemann's theorem states that the intersection body of an origin-symmetric convex body is a...
The notion of strict convexity in metric spaces was introduced in [1] and certain existence and uniq...
AbstractWe study isomorphic properties of two generalizations of intersection bodies – the class Ikn...
Abstract. Let C ⊂ Rn be a convex body. We introduce two notions of convexity associated to C. A set ...
AbstractIn this paper the concepts of strictly convex and uniformly convex normed linear spaces are ...
We review some basic results of convex analysis and geometry in Rn in the context of formulating a d...
In this note we introduce a notion of essentially-Euclidean normed spaces (and convex bodies). Rough...
summary:If $X$ is a convex surface in a Euclidean space, then the squared intrinsic distance functi...
We study questions concerning convexity and the existence of the nearest point for a given set in sp...