3 papers
math.FA2025
A small Radon-Nikodým compact space from a parametrized diamond
Arturo Martínez-Celis, Adam Morawski
A compact space is Radon-Nikodým if there is a lower semi-continuous metric fragmenting . In this note, we show that, under , there…
math.LO2024
On cardinal invariants related to Rosenthal families and large-scale topology
Arturo Martínez-Celis, Tomasz Żuchowski
Given a function , a set is free for if is finite. For a class of functions , we define as the smalles…
math.LO2023
Michael Spaces and Ultrafilters
Arturo Martínez-Celis
A Michael space is a Lindelöf space which has a non-Lindelöf product with the Baire space. In this work, we present the notion of Michael ultrafilter and we use it to construct a M…