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of 186
pro vyhledávání: '"Kucharski Andrzej"'
We show that an embedding of a fixed 0-dimensional compact space $K$ into the \v{C}ech--Stone remainder $\omega^*$ as a nowhere dense P-set is the unique generic limit, a special object in the category consisting of all continuous maps from $K$ to co
Externí odkaz:
http://arxiv.org/abs/2310.05043
We examine dimensional types of scattered $P$-spaces of weight $\omega_1$. Such spaces can be embedded into $\omega_2$. There are established similarities between dimensional types of scattered separable metric spaces and dimensional types of $P$-spa
Externí odkaz:
http://arxiv.org/abs/2211.17112
We investigate the category of discrete topological spaces, with emphasis on inverse systems of height $\omega_1$. Their inverse limits belong to the class of $P$-spaces, which allows us to explore dimensional types of these spaces.
Comment: Thi
Comment: Thi
Externí odkaz:
http://arxiv.org/abs/2107.09386
Akademický článek
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We try to explain the differences between the concepts of stratifiable space and $\varkappa$-metrizable space. In particular, we give a characterization of $\varkappa$-metrizable spaces which is modelled on Chigogidze's characterization. Moreover, we
Externí odkaz:
http://arxiv.org/abs/1911.09871
Autor:
Bąk, Judyta, Kucharski, Andrzej
The aim of this paper is to study the class of spaces with the FNS property and $\pi-\FNS$ property. We shown that compact spaces with the FNS property for some base consisting of cozero-sets are openly generated spaces and spaces with the $\pi-\FNS$
Externí odkaz:
http://arxiv.org/abs/1904.08902
Publikováno v:
In Topology and its Applications 1 July 2023 334
Akademický článek
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Autor:
Bąk, Judyta, Kucharski, Andrzej
We prove that a player $\alpha$ has a winning strategy in the Banach--Mazur game on a space $X$ if and only if $X$ is F-Y countably $\pi$-domain representable. We show that Choquet complete spaces are F-Y countably domain representable. We give an ex
Externí odkaz:
http://arxiv.org/abs/1806.00785
Publikováno v:
In Topology and its Applications 1 May 2022 312