Arturo Mart'inez-Celis

collaborators

3 papers

math.LO2026

Cardinal invariants of idealized Miller null sets

Aleksander CieÅlak, Takehiko Gappo, Arturo MartÃnez-Celis +1

This paper provides an extensive study of the $I$ -Miller null ideals $M_{I}$ , $I ¨ $ -ideals on the Baire space parametrized by ideals $I$ on countable set…

math.LO2024

On ideals related to Laver and Miller trees

Aleksander CieÅlak, Arturo MartÃnez-Celis

In this work we consider the ideals $m^{0} (I)$ and $ℓ^{0} (I)$ , ideals generated by the $I$ -positive Miller trees and $I$ -positive Laver trees…

math.LO2024

On cardinal invariants related to Rosenthal families and large-scale topology

Arturo MartÃnez-Celis, Tomasz Å»uchowski

Given a function $f \in I ¨ ^{I ¨} $ , a set $A \in [I ¨ ]^{I ¨} $ is free for $f$ if $f [A] \cap A$ is finite. For a class of functions $I^ \subseteq I ¨ ^{I ¨} $ , we define $ros_{I^} $ as the…