On P-like ideals induced by disjoint families
General Topology
2023-06-16 v2
Abstract
We consider a combinatorial property isolated in the field of ideal convergence, a P-property for two ideals on natural numbers. We show that among selected ideals induced by disjoint families, not all pairs satisfy P-property for two ideals. In many cases we specify the inducing partitions for which the corresponding ideals possess the property. Regarding selector ideals, a useful coloring-like necessary condition is provided.
Keywords
Cite
@article{arxiv.2212.07260,
title = {On P-like ideals induced by disjoint families},
author = {Adam Marton and Jaroslav Supina},
journal= {arXiv preprint arXiv:2212.07260},
year = {2023}
}