Joanna Jureczko

collaborators

12 papers

math.GN2023

Remarks on some special points in extremally disconnected compact spaces

Joanna Jureczko

We prove under ZFC that in each extremally disconnected compact space there exists a non-limit point of any countable discrete subset.

math.GN2023

Weak $P$ -points for regulars

Joanna Jureczko

The main result of this paper is to show that for any compact space $X$ and any family ${f_{α} : α < 2^{κ}, f_{α} : X ⟶ o n t o β κ}$ of open mappings ther…

math.LO2023

On equivalences of polarized partition relations

Joanna Jureczko

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 fo…

math.LO2023

Some remarks on polarized partition relations

Joanna Jureczko

This paper deals with two notions: a polarized partition relations $(α β) \to (γ η δ λ)$ and…

math.LO2023

Ultrafilters without immediate predecessors in Rudin-Frolik order for regulars

Joanna Jureczko

The aim of this paper is to construct ultrafilters without immediate predecessors in the Rudin-Frolik order in $β κ ∖ κ$ , where $κ$ is a regular cardinal. This generalizes th…

math.LO2023

Chains in Rudin-Frolik order for regulars

Joanna Jureczko

The aim of this paper is to construct chains of length $(2^{κ})^{+}$ in the sense of Rudin-Frolík order in $β κ$ for $κ$ regular.

Remarks on some special points in extremally disconnected compact spaces

Weak P-points for regulars

On equivalences of polarized partition relations

Some remarks on polarized partition relations

Ultrafilters without immediate predecessors in Rudin-Frolik order for regulars

Chains in Rudin-Frolik order for regulars

Weak $P$ -points for regulars