Tomasz .Zuchowski

collaborators

3 papers

math.LO2025

The Nikodym and Grothendieck properties of Boolean algebras and rings related to ideals

Damian Sobota, Tomasz Żuchowski

For an ideal $I$ in a $σ$ -complete Boolean algebra $A$ , we show that if the Boolean algebra $A ⟨ I ⟩$ generated by $I$ do…

math.LO2024

The Nikodym property and filters on $ω$

Tomasz Żuchowski

For a free filter $F$ on $ω$ , let $N_{F} = ω \cup {p_{F}}$ , where $p_{F} \neq \in ω$ , be equipped with the following topology: every element of $ω$ is isolated whereas all open neighborhoods…

math.LO2024

On cardinal invariants related to Rosenthal families and large-scale topology

Arturo Martínez-Celis, Tomasz Żuchowski

Given a function $f \in ω^{ω}$ , a set $A \in [ω]^{ω}$ is free for $f$ if $f [A] \cap A$ is finite. For a class of functions $Γ \subseteq ω^{ω}$ , we define $ros_{Γ}$ as the smalles…

The Nikodym and Grothendieck properties of Boolean algebras and rings related to ideals

The Nikodym property and filters on ω

On cardinal invariants related to Rosenthal families and large-scale topology

The Nikodym property and filters on $ω$