On ideals related to Laver and Miller trees

Bibliographic Details
Title: On ideals related to Laver and Miller trees
Authors: Cieślak, Aleksander, Martínez-Celis, Arturo
Publication Year: 2023
Collection: Mathematics
Subject Terms: Mathematics - Logic
More Details: 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: 19 pages
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2312.01387
Accession Number: edsarx.2312.01387
Database: arXiv
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