AbstractWe prove that if K is a compact metrizable space and if X is separable and completely metrizable and contains uncountably many pairwise disjoint homeomorphs of K then X contains a copy of ω2 × K. We also present applications of this result
2 c Ginsburg and Saks have proved that if the power X is countably compact, X is a Hausdorff space, ...
AbstractThe metrizability number of a space X, m(X), is the smallest cardinal κ such that X can be r...
AbstractWe prove the following result: If in a compact space X there is a λ-branching family of clos...
[EN] We prove under Martin’s Axiom that every separable metrizable space represented as the union of...
AbstractFor every compact metrizable space X there is a metrizable compactification μ(X) of ω whose ...
AbstractThis is a continuation of the study of the metrizability number and the first countability n...
AbstractFor each pair of positive integers k and m with k⩽m there exists a separable metrizable spac...
We prove under Martin’s Axiom that every separable metrizable space represented as the union of less...
AbstractDenote by s the countable infinite topological product of real lines. A result of Anderson a...
AbstractA space is rational if the collection of all open sets with at most countable boundary is a ...
summary:A.V. Arkhangel'skii asked that, is it true that every space $Y$ of countable tightness is ho...
summary:A.V. Arkhangel'skii asked that, is it true that every space $Y$ of countable tightness is ho...
AbstractWe show that it is consistent with ZFC that there exists a compact 0-dimensional Hausdorff s...
AbstractA space X partitions a space Y if Y is the union of pairwise disjoint subjets, each of which...
2 c Ginsburg and Saks have proved that if the power X is countably compact, X is a Hausdorff space, ...
2 c Ginsburg and Saks have proved that if the power X is countably compact, X is a Hausdorff space, ...
AbstractThe metrizability number of a space X, m(X), is the smallest cardinal κ such that X can be r...
AbstractWe prove the following result: If in a compact space X there is a λ-branching family of clos...
[EN] We prove under Martin’s Axiom that every separable metrizable space represented as the union of...
AbstractFor every compact metrizable space X there is a metrizable compactification μ(X) of ω whose ...
AbstractThis is a continuation of the study of the metrizability number and the first countability n...
AbstractFor each pair of positive integers k and m with k⩽m there exists a separable metrizable spac...
We prove under Martin’s Axiom that every separable metrizable space represented as the union of less...
AbstractDenote by s the countable infinite topological product of real lines. A result of Anderson a...
AbstractA space is rational if the collection of all open sets with at most countable boundary is a ...
summary:A.V. Arkhangel'skii asked that, is it true that every space $Y$ of countable tightness is ho...
summary:A.V. Arkhangel'skii asked that, is it true that every space $Y$ of countable tightness is ho...
AbstractWe show that it is consistent with ZFC that there exists a compact 0-dimensional Hausdorff s...
AbstractA space X partitions a space Y if Y is the union of pairwise disjoint subjets, each of which...
2 c Ginsburg and Saks have proved that if the power X is countably compact, X is a Hausdorff space, ...
2 c Ginsburg and Saks have proved that if the power X is countably compact, X is a Hausdorff space, ...
AbstractThe metrizability number of a space X, m(X), is the smallest cardinal κ such that X can be r...
AbstractWe prove the following result: If in a compact space X there is a λ-branching family of clos...
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