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math.LO2020
Equivalence of the existence of K-partitions with the existence of the precipitous ideal
Ryszard Frankiewicz, Joanna Jureczko
In this note we give equivalence of the existence of K-partitions with the existence of the precipitous ideal which is essentially topological. This way we strengthen the main resu…
math.LO2020
Partitions of non-complete Baire metric spaces
Ryszard Frankiewicz, Joanna Jureczko
We investigate the properties of ideals associated with Kuratowski partitions of non-complete Baire metric spaces. We show that such an ideal can be precipitous.
math.LO2020
On special partitions of metric spaces
Ryszard Frankiewicz, Joanna Jureczko
The main result of this paper is to show that, if is the smallest real-valued measurable cardinal not greater than , then there exists a complete metric space of…