• Corpus ID: 235195956

Minimally generated Boolean algebras and the Nikodym property

  title={Minimally generated Boolean algebras and the Nikodym property},
  author={Damian Sobota and 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 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… 
2 Citations
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