AbstractThere are several covering properties of topological spaces which have been successfully characterised by multi-selections of l.s.c. set-valued mappings. The present paper is devoted to a similar problem but now involving sections instead of multi-selections. It deals with compactness-like properties and sections represented by compact subsets of the range. Several applications are also given
AbstractThe most general subset theorem for the covering dimension for arbitrary topological spaces ...
AbstractThe construction of the Alexandroff one-point compactification is extended to provide paraco...
AbstractIt is known that the Stone–Čech compactification βX of a noncompact metrizable space X is ap...
AbstractThere are several covering properties of topological spaces which have been successfully cha...
AbstractWe characterize strong paracompactness in terms of usco multi-selections for closed-valued l...
2000 Mathematics Subject Classification: 54C60, 54C65, 54D20, 54D30.In the present paper the Lindelö...
AbstractAs a rule, the classical Michael-type selection theorems for the existence of single-valued ...
AbstractIt is well known that every compactification of a completely regular space X can be generate...
The purpose of this short note is to prove the following theorem. Let X be a hereditarily normal par...
AbstractAn intrinsic characterization of the range onto which each open map from each metric space b...
AbstractA near-selection theorem is proven for carriers defined on spaces that are the countable uni...
AbstractThe purpose of this paper is to organize the following mapping properties: almost- open, bi-...
AbstractIn this note we study the relationship between [a, b]-compactness in the sense of open cover...
AbstractWithin the framework of Zermelo–Fraenkel set theory ZF, we investigate the set-theoretical s...
We present an equivalence between the compactness of atopological space and the compactness of a quo...
AbstractThe most general subset theorem for the covering dimension for arbitrary topological spaces ...
AbstractThe construction of the Alexandroff one-point compactification is extended to provide paraco...
AbstractIt is known that the Stone–Čech compactification βX of a noncompact metrizable space X is ap...
AbstractThere are several covering properties of topological spaces which have been successfully cha...
AbstractWe characterize strong paracompactness in terms of usco multi-selections for closed-valued l...
2000 Mathematics Subject Classification: 54C60, 54C65, 54D20, 54D30.In the present paper the Lindelö...
AbstractAs a rule, the classical Michael-type selection theorems for the existence of single-valued ...
AbstractIt is well known that every compactification of a completely regular space X can be generate...
The purpose of this short note is to prove the following theorem. Let X be a hereditarily normal par...
AbstractAn intrinsic characterization of the range onto which each open map from each metric space b...
AbstractA near-selection theorem is proven for carriers defined on spaces that are the countable uni...
AbstractThe purpose of this paper is to organize the following mapping properties: almost- open, bi-...
AbstractIn this note we study the relationship between [a, b]-compactness in the sense of open cover...
AbstractWithin the framework of Zermelo–Fraenkel set theory ZF, we investigate the set-theoretical s...
We present an equivalence between the compactness of atopological space and the compactness of a quo...
AbstractThe most general subset theorem for the covering dimension for arbitrary topological spaces ...
AbstractThe construction of the Alexandroff one-point compactification is extended to provide paraco...
AbstractIt is known that the Stone–Čech compactification βX of a noncompact metrizable space X is ap...
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