Convergence in Banach spaces of measures and cardinal characteristics of the continuum

05.10.2023 11:30 - 13:00

D. Sobota (U Wien)

Mini-course (05.10.2023-23.11.2023, 6 lectures) - 1st lecture:

During this minicourse I will show how various properties of Banach spaces of measures (on compact spaces or Boolean algebras) are affected by values of the cardinal characteristics of the continuum occuring in Cichoń's diagram and van Douwen's diagram. We will in particular be interested in convergence properties of sequences of measures in weak* and weak topologies. Besides, we will study what impact extending the set-theoretic universe by forcing can have on topologies of ground model Banach spaces of measures. Finally, I will present connections between convergence of measures on compact spaces and filters on countable sets.




SR 10, 1. Stock, Koling. 14-16, 1090 Wien