Every (continuous) selection for the non-empty 2-point subsets of a space X naturally defines an interval-like topology on X. In the present paper, we demonstrate that, for a second-countable zerodimensional space X, this topology may fail to be first-countable at some (or, even any) point of X. This settles some problems stated in [7]
AbstractIt is demonstrated that the hyperspace of at most (n+1)-point sets has a Vietoris continuous...
Let X(2) denote the space of all non-empty subsets of X consisting of at most two elements. It is sh...
Let X(2) denote the space of all non-empty subsets of X consisting of at most two elements. It is sh...
Every (continuous) selection for the non-empty 2-point subsets of a space X naturally defines an int...
AbstractThe present paper improves a result of Gutev [V. Gutev, Approaching points by continuous sel...
We construct a two-point selection f : [P](2) -> P, where P is the set of the irrational numbers, su...
AbstractA function ψ:[X]2→X is a called a weak selection if ψ({x,y})∈{x,y} for every x,y∈X. To each ...
AbstractLet X(2) denote the space of all non-empty subsets of X consisting of at most two elements. ...
We construct a two-point selection f : [P](2) -> P, where P is the set of the irrational numbers, su...
We give a light introduction to selection principles in topology, a young subfield of infinite-combi...
summary:The paper presents new quasicontinuous selection theorem for continuous multifunctions $F X ...
Summary.- A sort of strong completeness property for subsets of a non-Archimedean space is defined. ...
Abstract. We consider a special order-like relation on the subsets of a given space X, which is gene...
AbstractEvery selection f:F2(X)→X for the family F2(X) of at most two-point subsets of a set X natur...
AbstractWe construct a two-point selection f:[P]2→P, where P is the set of the irrational numbers, s...
AbstractIt is demonstrated that the hyperspace of at most (n+1)-point sets has a Vietoris continuous...
Let X(2) denote the space of all non-empty subsets of X consisting of at most two elements. It is sh...
Let X(2) denote the space of all non-empty subsets of X consisting of at most two elements. It is sh...
Every (continuous) selection for the non-empty 2-point subsets of a space X naturally defines an int...
AbstractThe present paper improves a result of Gutev [V. Gutev, Approaching points by continuous sel...
We construct a two-point selection f : [P](2) -> P, where P is the set of the irrational numbers, su...
AbstractA function ψ:[X]2→X is a called a weak selection if ψ({x,y})∈{x,y} for every x,y∈X. To each ...
AbstractLet X(2) denote the space of all non-empty subsets of X consisting of at most two elements. ...
We construct a two-point selection f : [P](2) -> P, where P is the set of the irrational numbers, su...
We give a light introduction to selection principles in topology, a young subfield of infinite-combi...
summary:The paper presents new quasicontinuous selection theorem for continuous multifunctions $F X ...
Summary.- A sort of strong completeness property for subsets of a non-Archimedean space is defined. ...
Abstract. We consider a special order-like relation on the subsets of a given space X, which is gene...
AbstractEvery selection f:F2(X)→X for the family F2(X) of at most two-point subsets of a set X natur...
AbstractWe construct a two-point selection f:[P]2→P, where P is the set of the irrational numbers, s...
AbstractIt is demonstrated that the hyperspace of at most (n+1)-point sets has a Vietoris continuous...
Let X(2) denote the space of all non-empty subsets of X consisting of at most two elements. It is sh...
Let X(2) denote the space of all non-empty subsets of X consisting of at most two elements. It is sh...
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