Tomasz .Zuchowski

collaborators

3 papers

math.LO2026

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

Damian Sobota, Tomasz Å»uchowski

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

math.LO2024

The Nikodym property and filters on $I ¨ $

Tomasz Å»uchowski

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

math.LO2024

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

Arturo MartÃnez-Celis, Tomasz Å»uchowski

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

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

The Nikodym property and filters on I¨

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

The Nikodym property and filters on $I ¨ $