Damian Sobota

activity

20192022

collaborators

4 papers

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.FA2021

Minimally generated Boolean algebras and the Nikodym property

Damian Sobota, Lyubomyr Zdomskyy

A Boolean algebra $A$ has the Nikodym property if every pointwise bounded sequence of bounded finitely additive measures on $A$ is uniformly bounded. Assuming the…

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…

math.FA2019

Convergence of measures in forcing extensions

Damian Sobota, Lyubomyr Zdomskyy

We prove that if $A$ is a $σ$ -complete Boolean algebra in a model $V$ of set theory and $P \in V$ is a proper forcing with the Laver property preserving the groun…