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math.LO2026
On the Rudin-Blass Ordering of Measures
Piotr Borodulin-Nadzieja, Arturo MartÃnez-Celis, Adam Morawski +1
We study the Rudin-Blass (and the Rudin-Keisler) ordering on the finite additive measures on . We propose a generalization of the notion of Q-point and selective ultrafilter to…
math.LO2024
P-measures in models without P-points
Piotr Borodulin-Nadzieja, Jonathan Cancino-ManrÃquez, Adam Morawski
We answer in negative the problem if the existence of a P-measure implies the existence of a P-point. Namely, we show that if we add random reals to a certain unique P-point model,…