4 papers
math.LO2026
Cardinal invariants of idealized Miller null sets
Aleksander Cieślak, Takehiko Gappo, Arturo Martínez-Celis +1
This paper provides an extensive study of the -Miller null ideals , -ideals on the Baire space parametrized by ideals on countable sets…
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
On ideals related to Laver and Miller trees
Aleksander Cieślak, Arturo Martínez-Celis
In this work we consider the ideals and , ideals generated by the -positive Miller trees and -positive Laver trees…
math.LO2019
Rosenthal families, pavings and generic cardinal invariants
Piotr Koszmider, Arturo Martínez-Celis
Following D. Sobota we call a family of infinite subsets of a Rosenthal family if it can replace the family of all infinite subsets of in class…