AbstractLet (A) be the characterization of dimension as follows: Ind X⩽n if and only if X has a σ-closure-preserving base W such that Ind B(W)⩽n−1 for every WϵW. The validity of (A) is proved for spaces X such that(i) X is a paracompact σ-metric space with a scale {Xi} such that each Xi has a uniformly approaching anti-cover, or(ii) X is a subspace of the product ΠXi of countably many L-spaces Xi, the notion of which is due to K. Nagami.(i) and (ii) are the partial answers to Nagata's problem wheter (A) holds or not for every M1-space X
AbstractA topological space is said to be totally paracompact if every open base of it has a locally...
This is the published version, also available here: http://www.dx.doi.org/10.1090/S0273-0979-1982-15...
AbstractFor every regular cardinal κ we construct a hereditarily normal, countably paracompact space...
AbstractLet (A) be the characterization of dimension as follows: Ind X⩽n if and only if X has a σ-cl...
K. Nagami in [5] called a space X a u-space if X is embedded in the countable product of paracompact...
AbstractThe purpose of this paper is to characterize a topologica space Y with the property that the...
AbstractCharacterization of ω1-metrizable spaces whose product with every paracompact space is parac...
AbstractLet l,m,n be integers such that 0⩽l⩽n and 0<m⩽n. We show that there is a first countable, se...
AbstractIn this paper, we consider normality-like properties in products of topological spaces with ...
AbstractFollowing Pareek a topological space X is called D-paracompact if for every open cover A of ...
AbstractWe introduce and study several subclasses of the class of σ-spaces. The smallest of the clas...
AbstractBy using the covering dimension in the modified sense of Karětov and Smirnov it is proved th...
AbstractThe structure of covers on subsets of products of metric spaces is investigated. Some applic...
The topological product of a normal space with a metrizable space is not normal in general, as has b...
This is the published version, also available here: http://www.dx.doi.org/10.1090/S0273-0979-1982-15...
AbstractA topological space is said to be totally paracompact if every open base of it has a locally...
This is the published version, also available here: http://www.dx.doi.org/10.1090/S0273-0979-1982-15...
AbstractFor every regular cardinal κ we construct a hereditarily normal, countably paracompact space...
AbstractLet (A) be the characterization of dimension as follows: Ind X⩽n if and only if X has a σ-cl...
K. Nagami in [5] called a space X a u-space if X is embedded in the countable product of paracompact...
AbstractThe purpose of this paper is to characterize a topologica space Y with the property that the...
AbstractCharacterization of ω1-metrizable spaces whose product with every paracompact space is parac...
AbstractLet l,m,n be integers such that 0⩽l⩽n and 0<m⩽n. We show that there is a first countable, se...
AbstractIn this paper, we consider normality-like properties in products of topological spaces with ...
AbstractFollowing Pareek a topological space X is called D-paracompact if for every open cover A of ...
AbstractWe introduce and study several subclasses of the class of σ-spaces. The smallest of the clas...
AbstractBy using the covering dimension in the modified sense of Karětov and Smirnov it is proved th...
AbstractThe structure of covers on subsets of products of metric spaces is investigated. Some applic...
The topological product of a normal space with a metrizable space is not normal in general, as has b...
This is the published version, also available here: http://www.dx.doi.org/10.1090/S0273-0979-1982-15...
AbstractA topological space is said to be totally paracompact if every open base of it has a locally...
This is the published version, also available here: http://www.dx.doi.org/10.1090/S0273-0979-1982-15...
AbstractFor every regular cardinal κ we construct a hereditarily normal, countably paracompact space...