Add to ORKGLet X be a bounded subset of the real line and let Y be a metric space. In the function space C(X, Y), we give an intrinsic characterization of the functions f for which the neighborhood system in the Hausdorff topology coincides with the neighborhood system in the uniform convergence topology. (C) 2001 Elsevier Science B.V. All rights reserved
Abstract. The note contains two examples of function spaces Cp(X) endowed with the pointwise topolog...
summary:This paper completes and improves results of [10]. Let $(X,d_{_X})$, $(Y,d_{_Y})$ be two met...
AbstractIn 1883 Arzelà (1983/1984) [2] gave a necessary and sufficient condition via quasi-uniform c...
Let X be a bounded subset of the real line and let Y be a metric space. In the function space C(X, Y...
AbstractLet X be a bounded subset of the real line and let Y be a metric space. In the function spac...
summary:The local coincidence of the Hausdorff topology and the uniform convergence topology on the ...
As usual, the family of continuous real-valued functions on a topological space X, is denoted by C(X...
1. Preliminaries. Let Y be a metric space with metric d and for each y in Y let BX[Y] denote the clo...
Hausdorff topology and uniform convergence topology in spaces of continuous function
Let X be a Hausdorff space in which each neighborhood an inexhaustible set (a set of Baire\u27s seco...
We study Hausdorff convergence (and related topics) in the chordalization of a metric space to bette...
This paper studies two topologies on the set of all continuous real-valued functions on a Tychonoff ...
Uniform convergence for continuous real functions sequences preserves continuity of the limit of suc...
A compactness criterion for Hausdorff admissible (jointly continuous) convergence structures in func...
summary:A convergence structure generalizing the order convergence structure on the set of Hausdorff...
Abstract. The note contains two examples of function spaces Cp(X) endowed with the pointwise topolog...
summary:This paper completes and improves results of [10]. Let $(X,d_{_X})$, $(Y,d_{_Y})$ be two met...
AbstractIn 1883 Arzelà (1983/1984) [2] gave a necessary and sufficient condition via quasi-uniform c...
Let X be a bounded subset of the real line and let Y be a metric space. In the function space C(X, Y...
AbstractLet X be a bounded subset of the real line and let Y be a metric space. In the function spac...
summary:The local coincidence of the Hausdorff topology and the uniform convergence topology on the ...
As usual, the family of continuous real-valued functions on a topological space X, is denoted by C(X...
1. Preliminaries. Let Y be a metric space with metric d and for each y in Y let BX[Y] denote the clo...
Hausdorff topology and uniform convergence topology in spaces of continuous function
Let X be a Hausdorff space in which each neighborhood an inexhaustible set (a set of Baire\u27s seco...
We study Hausdorff convergence (and related topics) in the chordalization of a metric space to bette...
This paper studies two topologies on the set of all continuous real-valued functions on a Tychonoff ...
Uniform convergence for continuous real functions sequences preserves continuity of the limit of suc...
A compactness criterion for Hausdorff admissible (jointly continuous) convergence structures in func...
summary:A convergence structure generalizing the order convergence structure on the set of Hausdorff...
Abstract. The note contains two examples of function spaces Cp(X) endowed with the pointwise topolog...
summary:This paper completes and improves results of [10]. Let $(X,d_{_X})$, $(Y,d_{_Y})$ be two met...
AbstractIn 1883 Arzelà (1983/1984) [2] gave a necessary and sufficient condition via quasi-uniform c...