Damian Sobota

activity

20192026

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Showing math.LOShow all

3 papers · 1 filter

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.LO2022

There is a P-measure in the random model

Piotr Borodulin-Nadzieja, Damian Sobota

We say that a finitely additive probability measure $μ$ on $ω$ is \emph{a P-measure} if it vanishes on points and for each decreasing sequence $(E_{n})$ of infinite subsets of $ω$ th…

math.LO2021

On sequences of homomorphisms into measure algebras and the Efimov Problem

Piotr Borodulin-Nadzieja, Damian Sobota

For given Boolean algebras $A$ and $B$ we endow the space $H (A, B)$ of all Boolean homomorphisms from $A$ to $B$ with…