Borel Boolean algebras with the Nikodym property but without the Grothendieck property

Speaker(s)

Damian Sobota

Affiliation

Universität Wien, Kurt Gödel Research Center for Mathematical Logic

Language of the talk

Polish

Date

Nov. 5, 2025, 4:15 p.m.

Room

room 4050

Seminar

Topology and Set Theory Seminar

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I will present a construction of continuum many pairwise non-isomorphic Boolean subalgebras of the power set P(\omega) which have the Nikodym property but not the Grothendieck property and belong to the class F_{\sigma\delta} when thought of as subsets of the Cantor space 2^\omega.
This is a joint work with T. Żuchowski, presented in the preprint:
https://arxiv.org/abs/2510.19744

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