On ideals related to Laver and Miller trees

Autor: Cieślak, Aleksander, Martínez-Celis, Arturo
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: In this work we consider the ideals $m^0(\mathcal{I})$ and $\ell^0(\mathcal{I})$, ideals generated by the $\mathcal{I}$-positive Miller trees and $\mathcal{I}$-positive Laver trees, respectively. We investigate in which cases these ideals have cofinality larger than $\mathfrak{c}$ and we calculate some cardinal invariants closely related to these ideals.
Comment: 18 pages
Databáze: arXiv