In this chapter we give an equivalent point of view for quasi-metricstructures on a set X in terms of families of neighborhoods of the diagonal in X×X.We use this approach and the iterative process introduced by R. Macías and C.Segovia in.A well behaved quasi-distance for spaces of homogeneous type (Trabajosde Matemática, IAM, 32, 1981, 1?18) in order to show that the balls in the newquasi-distance have a specific regularity at the boundary.Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentin
In applications in computer graphics and computational anatomy, one seeks a measure-preserving map f...
[EN] Using the general notion of distance function introduced in an earlier paper, a construction of...
This thesis is a study of three topics, each of which describes an aspect of geometry relating to th...
A classical problem in geometric topology is to recognize when a topological space is a topological ...
Using the notion of formal ball, we present a few new results in the theoryof quasi-metric spaces. W...
Let (X, d, μ) be a space of homogeneous type. We study the relationship between two types of s-sets:...
In this article, we study the geodesic problem in a generalized metric space, in which the ...
Title from PDF of title page (University of Missouri--Columbia, viewed on May 26, 2011).The entire t...
In this paper, for a given sequentially Yoneda-complete T_1 quasi-metricspace (X,d), the domain theo...
Abstract: We study convexity and starlikeness of metric balls on Banach spaces when the metric is th...
AbstractResults on the geometric structure of spaces of homogeneous type are obtained and applied to...
In this paper, we provide in a general Hilbert space new characterizations of uniform prox-regularit...
Abstract. This is a preliminary version of my PhD thesis. In this text we discuss possible ways to g...
We give a new proof of a theorem of Kleiner-Leeb: that any quasi-isometrically embedded Euclidean sp...
Using the notion of formal ball, we present a few easy, new results in the theory of quasi-metric sp...
In applications in computer graphics and computational anatomy, one seeks a measure-preserving map f...
[EN] Using the general notion of distance function introduced in an earlier paper, a construction of...
This thesis is a study of three topics, each of which describes an aspect of geometry relating to th...
A classical problem in geometric topology is to recognize when a topological space is a topological ...
Using the notion of formal ball, we present a few new results in the theoryof quasi-metric spaces. W...
Let (X, d, μ) be a space of homogeneous type. We study the relationship between two types of s-sets:...
In this article, we study the geodesic problem in a generalized metric space, in which the ...
Title from PDF of title page (University of Missouri--Columbia, viewed on May 26, 2011).The entire t...
In this paper, for a given sequentially Yoneda-complete T_1 quasi-metricspace (X,d), the domain theo...
Abstract: We study convexity and starlikeness of metric balls on Banach spaces when the metric is th...
AbstractResults on the geometric structure of spaces of homogeneous type are obtained and applied to...
In this paper, we provide in a general Hilbert space new characterizations of uniform prox-regularit...
Abstract. This is a preliminary version of my PhD thesis. In this text we discuss possible ways to g...
We give a new proof of a theorem of Kleiner-Leeb: that any quasi-isometrically embedded Euclidean sp...
Using the notion of formal ball, we present a few easy, new results in the theory of quasi-metric sp...
In applications in computer graphics and computational anatomy, one seeks a measure-preserving map f...
[EN] Using the general notion of distance function introduced in an earlier paper, a construction of...
This thesis is a study of three topics, each of which describes an aspect of geometry relating to th...