Mini-course (05.10.2023-23.11.2023, 6 lectures) - 4th lecture:
During my 4th talk I'll continue to describe connections between complexity of filters on \(\omega\) and convergence of finitely supported measures on spaces of the form \(N_F=\omega\cup\{F\}\). I'll also show how to relate cardinal characteristics of the continuum to the Grothendieck property and the Nikodym property of Boolean algebras and provide various estimates for them in terms of standard cardinal characteristics from Cichoń's diagram.