3 citations · 12 across the 16 of their papers we have counts for
17 papers
Scattered -spaces of weight
Wojciech Bielas, Andrzej Kucharski, Szymon Plewik
We examine dimensional types of scattered -spaces of weight . Such spaces can be embedded into . There are established similarities between dimensional types of scatte…
Dimensional types and P-spaces
Wojciech Bielas, Andrzej Kucharski, Szymon Plewik
We investigate the category of discrete topological spaces, with emphasis on inverse systems of height . Their inverse limits belong to the class of -spaces, which allows u…
The Niemytzki plane is kappa-metrizable
Wojciech Bielas, Andrzej Kucharski, Szymon Plewik
We try to explain the differences between the concepts of stratifiable space and -metrizable space. In particular, we give a characterization of -metrizable s…
Topological spaces with the Freese--Nation property II
Judyta Bąk, Andrzej Kucharski
The aim of this paper is to study the class of spaces with the FNS property and $π-\FNS$ property. We shown that compact spaces with the FNS property for some base consisting of co…
The Banach--Mazur game and the strong Choquet game in domain theory
Judyta Bąk, Andrzej Kucharski
We prove that a player has a winning strategy in the Banach--Mazur game on a space if and only if is F-Y countably -domain representable. We show that Choquet comple…
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…