Add to ORKGWe present an equivalence between the compactness of atopological space and the compactness of a quotient space obtained through a natural equivalence relation. By means of this equivalence, the study of compactness in general is reduced to that of T0 topological spaces
summary:In this paper we generalize the notion of {\it perfect compactification} of a Tychonoff spac...
AbstractWe give a mapping space C(X,Y) that is not M3 , where X is a compact metrizable space and Y ...
AbstractA subspace Y of a space X is said to be M-embedded in X if every continuous f:Y→Z with Z met...
Abstract. We present an equivalence between the compactness of a topological space and the compactne...
In this paper, we study some properties of $*-$open and $*-$closed subsets of a space. The collectio...
AbstractWe show that every KC space (X,τ), such that τ is minimal among the KC topologies on X, must...
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...
AbstractLet H0(X) (H(X)) denote the set of all (nonempty) closed subsets of X endowed with the Vieto...
AbstractIf M is an elementary submodel and X a topological space, then XM denotes the set X∩M given ...
AbstractThere are several covering properties of topological spaces which have been successfully cha...
AbstractThe most general subset theorem for the covering dimension for arbitrary topological spaces ...
AbstractFor any space X, denote by dis(X) the smallest (infinite) cardinal κ such that κ many discre...
AbstractIt is known that the Stone–Čech compactification βX of a noncompact metrizable space X is ap...
summary:In this paper we generalize the notion of {\it perfect compactification} of a Tychonoff spac...
summary:In this paper we generalize the notion of {\it perfect compactification} of a Tychonoff spac...
AbstractWe give a mapping space C(X,Y) that is not M3 , where X is a compact metrizable space and Y ...
AbstractA subspace Y of a space X is said to be M-embedded in X if every continuous f:Y→Z with Z met...
Abstract. We present an equivalence between the compactness of a topological space and the compactne...
In this paper, we study some properties of $*-$open and $*-$closed subsets of a space. The collectio...
AbstractWe show that every KC space (X,τ), such that τ is minimal among the KC topologies on X, must...
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...
AbstractLet H0(X) (H(X)) denote the set of all (nonempty) closed subsets of X endowed with the Vieto...
AbstractIf M is an elementary submodel and X a topological space, then XM denotes the set X∩M given ...
AbstractThere are several covering properties of topological spaces which have been successfully cha...
AbstractThe most general subset theorem for the covering dimension for arbitrary topological spaces ...
AbstractFor any space X, denote by dis(X) the smallest (infinite) cardinal κ such that κ many discre...
AbstractIt is known that the Stone–Čech compactification βX of a noncompact metrizable space X is ap...
summary:In this paper we generalize the notion of {\it perfect compactification} of a Tychonoff spac...
summary:In this paper we generalize the notion of {\it perfect compactification} of a Tychonoff spac...
AbstractWe give a mapping space C(X,Y) that is not M3 , where X is a compact metrizable space and Y ...
AbstractA subspace Y of a space X is said to be M-embedded in X if every continuous f:Y→Z with Z met...