AbstractThe structure of covers on subsets of products of metric spaces is investigated. Some applications to extensions of continuous maps and some well-known corollaries are given
We investigated the spaces of continuous functions on countable products of compact Hausdorff spaces...
summary:Let $X$ be a uniform space of uniform weight $\mu$. It is shown that if every open covering,...
AbstractLet X be a metrizable space. It is proved that X has a topologically complete metrizable ext...
AbstractThe structure of covers on subsets of products of metric spaces is investigated. Some applic...
AbstractSeveral theorems are presented on the relation υ(X × Y) = υX × υ Y; the proofs use the idea ...
The topological product of a normal space with a metrizable space is not normal in general, as has b...
AbstractA subset Y of a space X is Gδ-dense if it intersects every nonempty Gδ-set. The Gδ-closure o...
AbstractFor every natural number n > 1, we construct a metric space X such that every continuous map...
summary:As is well-known, every product of a locally compact space with a $k$-space is a $k$-space. ...
summary:As is well-known, every product of a locally compact space with a $k$-space is a $k$-space. ...
AbstractWe present some generalizations and improvements of results due to I. Aharoni and P. Assouad...
AbstractIt is proved that the continuum hypothesis implies that the box product of countably many σ-...
AbstractWe give some characterizations for normal covers of infinite products of generalized metric ...
AbstractLet (A) be the characterization of dimension as follows: Ind X⩽n if and only if X has a σ-cl...
AbstractBy using the covering dimension in the modified sense of Karětov and Smirnov it is proved th...
We investigated the spaces of continuous functions on countable products of compact Hausdorff spaces...
summary:Let $X$ be a uniform space of uniform weight $\mu$. It is shown that if every open covering,...
AbstractLet X be a metrizable space. It is proved that X has a topologically complete metrizable ext...
AbstractThe structure of covers on subsets of products of metric spaces is investigated. Some applic...
AbstractSeveral theorems are presented on the relation υ(X × Y) = υX × υ Y; the proofs use the idea ...
The topological product of a normal space with a metrizable space is not normal in general, as has b...
AbstractA subset Y of a space X is Gδ-dense if it intersects every nonempty Gδ-set. The Gδ-closure o...
AbstractFor every natural number n > 1, we construct a metric space X such that every continuous map...
summary:As is well-known, every product of a locally compact space with a $k$-space is a $k$-space. ...
summary:As is well-known, every product of a locally compact space with a $k$-space is a $k$-space. ...
AbstractWe present some generalizations and improvements of results due to I. Aharoni and P. Assouad...
AbstractIt is proved that the continuum hypothesis implies that the box product of countably many σ-...
AbstractWe give some characterizations for normal covers of infinite products of generalized metric ...
AbstractLet (A) be the characterization of dimension as follows: Ind X⩽n if and only if X has a σ-cl...
AbstractBy using the covering dimension in the modified sense of Karětov and Smirnov it is proved th...
We investigated the spaces of continuous functions on countable products of compact Hausdorff spaces...
summary:Let $X$ be a uniform space of uniform weight $\mu$. It is shown that if every open covering,...
AbstractLet X be a metrizable space. It is proved that X has a topologically complete metrizable ext...