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

Prelegent(ci)

Damian Sobota

Afiliacja

Universität Wien, Kurt Gödel Research Center for Mathematical Logic

Język referatu

polski

Termin

5 listopada 2025 16:15

Pokój

p. 4050

Seminarium

Seminarium „Topologia i teoria mnogości”

---

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

---