Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Jureczko, Joanna"'
Autor:
Jureczko, Joanna
The main result of this paper is to show that for any compact space $X$ and any family $\{f_\alpha \colon \alpha< 2^\kappa, f_\alpha \colon X \stackrel{onto}{\longrightarrow} \beta \kappa\}$ of open mappings there exists a point $x \in X$ such that f
Externí odkaz:
http://arxiv.org/abs/2305.04998
Autor:
Jureczko, Joanna
We prove under ZFC that in each extremally disconnected compact space there exists a non-limit point of any countable discrete subset.
Comment: arXiv admin note: substantial text overlap with arXiv:2305.04998
Comment: arXiv admin note: substantial text overlap with arXiv:2305.04998
Externí odkaz:
http://arxiv.org/abs/2305.05669
Autor:
Jureczko, Joanna
The paper deals with two notions: polarized partition relations and product of generalized strong sequences. Strong sequences were introduced by Efimov in 1965 as a usefull tool for proving famous theorems in dyadic spaces, i.e. continuous images of
Externí odkaz:
http://arxiv.org/abs/2305.02417
Autor:
Jureczko, Joanna
This paper deals with two notions: a polarized partition relations $\left( \begin{array}{c} \alpha \beta \end{array} \right) \to \left( \begin{array}{cc} \gamma & \eta \delta & \lambda \end{array} \right)$ and product of generalized strong sequences.
Externí odkaz:
http://arxiv.org/abs/2305.03181
Autor:
Jureczko, Joanna
The aim of this paper is to construct ultrafilters without immediate predecessors in the Rudin-Frolik order in $\beta \kappa\setminus \kappa$, where $\kappa$ is a regular cardinal. This generalizes the problem posed by Peter Simon more than 40 years
Externí odkaz:
http://arxiv.org/abs/2305.02794
Autor:
Jureczko, Joanna
The aim of this paper is to prove that for there exist a chain in the Rudin-Frol\'ik order of $\beta\kappa\setminus \kappa$ of length $\mu$ with $\kappa \leqslant \mu \leqslant 2^\kappa$ for regular $\kappa> \omega$ without a lower bound.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/2304.01398
Autor:
Jureczko, Joanna
The aim of this paper is to construct chains of length $(2^\kappa)^+$ in the sense of Rudin-Frol\'ik order in $\beta \kappa$ for $\kappa$ regular.
Externí odkaz:
http://arxiv.org/abs/2304.00097
Autor:
Jureczko, Joanna
We show that there is a set of $2^{2^{\kappa}}$ ultrafilters incomparable in Rudin-Frol\'ik order of $\beta \kappa \setminus \kappa$, where $\kappa$ is regular, for which no subset with more than one element has an infimum.
Comment: arXiv admin
Comment: arXiv admin
Externí odkaz:
http://arxiv.org/abs/2304.02143
Autor:
Jureczko, Joanna
The aim of this paper is to provide the results that answer the Kuratowski problem posed in 1935 concerning the existence of nonmeasurable sets. The Kuratowski problem was considered for partitions, here we provide a generalization to point-finite fa
Externí odkaz:
http://arxiv.org/abs/2303.16650
Autor:
Jureczko, Joanna
In this paper we show that the existence of Kuratowski partitions of Hausdorff Baire space is equivalent to the existence of point-finite covers of the same space.
Externí odkaz:
http://arxiv.org/abs/2303.16652