5 citations · 16 across the 11 of their papers we have counts for
12 papers
Characterising projective and weakly projective Boolean algebras by coherent Freese--Nation separations
Tomasz Kania, Andrzej Kucharski, Sławomir Turek
We isolate a coherent finite-separation strengthening of the Freese--Nation property and use it to characterise projective and weakly projective Boolean algebras. A Boolean algebra…
Homogeneity of profinite graphs
Wiesław Kubiś, Andrzej Kucharski, Sławomir Turek
Profinite graphs are inverse limits of sequences of nonempty finite graphs. There exists a ``generic'' graph $\Pe$ in this category, although its edge relation is rather poor: only…
On generic topological embeddings
Wiesław Kubiś, Andrzej Kucharski, Sławomir Turek
We show that an embedding of a fixed 0-dimensional compact space into the Čech--Stone remainder as a nowhere dense P-set is the unique generic limit, a special object in…
The Kirch space is topologically rigid
Taras Banakh, Yaryna Stelmakh, Sławomir Turek
The (resp. the ) is the set of positive integers endowed with the topology generated by the base consisting of arithmetic progressions $…
The Golomb space is topologically rigid
Taras Banakh, Dario Spirito, Sławomir Turek
The is the set of positive integers endowed with the topology generated by the base consisting of arithmetic progressions $\{a+bn:n\g…
Supercompact minus compact is super
Taras Banakh, Zdzisław Kosztołowicz, Sławomir Turek
According to a folklore characterization of supercompact spaces, a compact Hausdorff space is supercompact if and only if it has a binary closed -network. This characterization…
A generalization of -metrizable spaces
Andrzej Kucharski, Sławomir Turek
We introduce a new class of -metrizable spaces, namely countably -metrizable spaces. We show that the class of all -metrizable spaces is a proper s…
Parovicenko spaces with structures
Wiesław Kubiś, Andrzej Kucharski, Sławomir Turek
We study an analogue of the Parovicenko property in categories of compact spaces with additional structures. In particular, we present an internal characterization of this property…
Hereditarily supercompact spaces
Taras Banakh, Zdzislaw Kosztolowicz, Slawomir Turek
A topological space is called hereditarily supercompact if each closed subspace of X is supercompact. By a combined result of Bula, Nikiel, Tuncali, Tymchatyn, and Rudin, each…
The groups and have no invariant binary -network
Taras Banakh, Slawomir Turek
A family of closed subsets of a topological space is called a {\em closed -network} if for each open set and a compact subset there is…
A decomposition theorem for compact groups with application to supercompactness
Wiesław Kubiś, Sławomir Turek
We show that every compact connected group is the limit of a continuous inverse sequence, in the category of compact groups, where each successor bonding map is either an epimorphi…
Characterizing chainable, tree-like, and circle-like continua
Taras Banakh, Zdzislaw Kosztolowicz, Slawomir Turek
We prove that a continuum is tree-like (resp. circle-like, chainable) if and only if for each open cover $\U_4=\{U_1,U_2,U_3,U_4\}$ of there is a $\U_4$-map onto…