Add to ORKGAbstract. We investigate abstract boundedness in a topological space and demonstrate the importance of this notion in selection principles theory. Some applications to function spaces and hyperspaces are given. This approach sheds more light on several results scattered in the literature. 1
A boundedness structure (bornology) on a topological space is an ideal of subsets containing all sin...
The study of selection principles in mathematics is the study of diagonalization processes. In this ...
Continuous selectors on the hyperspace F(X) are studied, when X is a non-Archimedean space. It is sh...
Some boundedness properties of function spaces (considered as topological groups) are studied.Mathem...
AbstractGiven a relation Ω:X→Y between topological spaces, we inquire whether it has a constant sele...
AbstractIn 1951 Ernest Michael wrote a definitive seminal article on hyperspaces [E. Michael, Topolo...
The paper is an overview of selected results on weaker forms of classical selection principles of Me...
AbstractWe introduce and investigate statistical convergence in topological and uniform spaces and s...
We study continuous selectors σ: Fτ (X) → X where Fτ (X) is a hyperspace of non-empty closed subsets...
G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game t...
The study of selection principles in mathematics is the study of diagonalization processes. In this ...
AbstractWe study some closure-type properties of function spaces endowed with the new topology of st...
A boundedness structure (bornology) on a topological space is an ideal of subsets containing all sin...
AbstractIn this paper we investigate relationships between closure-type properties of hyperspaces ov...
AbstractWe continue investigations of Čech closure spaces and their hyperspaces started in [M. Mršev...
A boundedness structure (bornology) on a topological space is an ideal of subsets containing all sin...
The study of selection principles in mathematics is the study of diagonalization processes. In this ...
Continuous selectors on the hyperspace F(X) are studied, when X is a non-Archimedean space. It is sh...
Some boundedness properties of function spaces (considered as topological groups) are studied.Mathem...
AbstractGiven a relation Ω:X→Y between topological spaces, we inquire whether it has a constant sele...
AbstractIn 1951 Ernest Michael wrote a definitive seminal article on hyperspaces [E. Michael, Topolo...
The paper is an overview of selected results on weaker forms of classical selection principles of Me...
AbstractWe introduce and investigate statistical convergence in topological and uniform spaces and s...
We study continuous selectors σ: Fτ (X) → X where Fτ (X) is a hyperspace of non-empty closed subsets...
G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game t...
The study of selection principles in mathematics is the study of diagonalization processes. In this ...
AbstractWe study some closure-type properties of function spaces endowed with the new topology of st...
A boundedness structure (bornology) on a topological space is an ideal of subsets containing all sin...
AbstractIn this paper we investigate relationships between closure-type properties of hyperspaces ov...
AbstractWe continue investigations of Čech closure spaces and their hyperspaces started in [M. Mršev...
A boundedness structure (bornology) on a topological space is an ideal of subsets containing all sin...
The study of selection principles in mathematics is the study of diagonalization processes. In this ...
Continuous selectors on the hyperspace F(X) are studied, when X is a non-Archimedean space. It is sh...