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math.GN2021
Ideal approach to convergence in functional spaces
Serhii Bardyla, Jaroslav Supina, Lyubomyr Zdomskyy
We solve the last standing open problem from the seminal paper by J. Gerlits and Zs. Nagy, which was later reposed by A. Miller, T. Orenshtein and B. Tsaban. Namely, we show that u…
math.LO2021
Convergence of measures after adding a real
Damian Sobota, Lyubomyr Zdomskyy
We prove that if is an infinite Boolean algebra in the ground model and is a notion of forcing adding any of the following reals: a Cohen real, an un…
math.FA2021
Minimally generated Boolean algebras and the Nikodym property
Damian Sobota, Lyubomyr Zdomskyy
A Boolean algebra has the Nikodym property if every pointwise bounded sequence of bounded finitely additive measures on is uniformly bounded. Assuming the…