• Corpus ID: 235195956

# Minimally generated Boolean algebras and the Nikodym property

```@inproceedings{Sobota2021MinimallyGB,
title={Minimally generated Boolean algebras and the Nikodym property},
author={Damian Sobota and Lyubomyr Zdomskyy},
year={2021}
}```
• Published 26 May 2021
• Mathematics
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 Diamond Principle ♦, we will construct an example of a minimally generated Boolean algebra A with the Nikodym property. The Stone space of such an algebra must necessarily be an Efimov space. The converse is, however, not true—again under ♦ we will provide an example of a minimally generated Boolean algebra whose Stone space is Efimov but…
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