Add to ORKGTyt. z nagłówka.Bibliogr. s. 977-978.Let A be a closed Gδ-subset of a normal space X. We prove that every function f0 : A → R with a closed graph can be extended to a function f : X → R with a closed graph, too. This is a consequence of a more general result which gives an affine and constructive method of obtaining such extensions.Dostępny również w formie drukowanej.KEYWORDS: real-valued functions with a closed graph, points of discontinuity, affine extensions of functions
summary:The set of points of upper semicontinuity of multi-valued mappings with a closed graph is st...
Abstract. In this paper the concept of preclosed graphs for functions between topological spaces is ...
Abstract. The set of points of upper semicontinuity of multi-valued mappings with a closed graph is ...
Abstract. Let A be a closed Gδ-subset of a normal space X. We prove that every function f0: A → R wi...
Let A be a closed Gδ-subset of a normal space X. We prove that every function ƒ0 : A &rar...
Closed and nowhere dense subsets which coincide with the points of discontinuity of real-valued func...
This paper concerns itself mainly with those functions from one topological or metric space to anoth...
The family of regular closed subsets of a topological space is used to introduce two concepts concer...
The family of regular closed subsets of a topological space is used to introduce two concepts concer...
In presented work we study relation between a real function, or a map between two metric spaces, and...
In this paper we characterize the pairs (A- ;A+) of disjoint subsets of perfectly normal topological...
AbstractFor any numerical function E:R2→R we give sufficient conditions for resolving the controlled...
In this paper we characterize the pairs (A-,A+) of disjoint subsets of a perfectly normal topologica...
ABSTRACT. Let X be a compact metric space, K a closed subset of X, Y a Banach space, and g: K- • Y a...
Abstract. In this paper, we introduce the concepts of faintly γ-continuity and extremely γ-closed gr...
summary:The set of points of upper semicontinuity of multi-valued mappings with a closed graph is st...
Abstract. In this paper the concept of preclosed graphs for functions between topological spaces is ...
Abstract. The set of points of upper semicontinuity of multi-valued mappings with a closed graph is ...
Abstract. Let A be a closed Gδ-subset of a normal space X. We prove that every function f0: A → R wi...
Let A be a closed Gδ-subset of a normal space X. We prove that every function ƒ0 : A &rar...
Closed and nowhere dense subsets which coincide with the points of discontinuity of real-valued func...
This paper concerns itself mainly with those functions from one topological or metric space to anoth...
The family of regular closed subsets of a topological space is used to introduce two concepts concer...
The family of regular closed subsets of a topological space is used to introduce two concepts concer...
In presented work we study relation between a real function, or a map between two metric spaces, and...
In this paper we characterize the pairs (A- ;A+) of disjoint subsets of perfectly normal topological...
AbstractFor any numerical function E:R2→R we give sufficient conditions for resolving the controlled...
In this paper we characterize the pairs (A-,A+) of disjoint subsets of a perfectly normal topologica...
ABSTRACT. Let X be a compact metric space, K a closed subset of X, Y a Banach space, and g: K- • Y a...
Abstract. In this paper, we introduce the concepts of faintly γ-continuity and extremely γ-closed gr...
summary:The set of points of upper semicontinuity of multi-valued mappings with a closed graph is st...
Abstract. In this paper the concept of preclosed graphs for functions between topological spaces is ...
Abstract. The set of points of upper semicontinuity of multi-valued mappings with a closed graph is ...