4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.GN2019
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…
math.GN2013★ 4 cited
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…
math.GN2010
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…