Proves non-Nikodym implies non-Grothendieck for ideal-generated Boolean algebras, constructs continuum and larger families with Nikodym but not Grothendieck, establishes equivalences for analytic P-ideals, disproves a conjecture on boundedness, and answers a question on nested partitions using Knesr
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The Nikodym and Grothendieck properties of Boolean algebras and rings related to ideals
Proves non-Nikodym implies non-Grothendieck for ideal-generated Boolean algebras, constructs continuum and larger families with Nikodym but not Grothendieck, establishes equivalences for analytic P-ideals, disproves a conjecture on boundedness, and answers a question on nested partitions using Knesr