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arXiv · 2212.07260

On P-like ideals induced by disjoint families

Adam Marton·Jaroslav Supina
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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.

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Adam Marton, Jaroslav Supina. 2022-12-14. On P-like ideals induced by disjoint families. https://arxiv.org/abs/2212.07260

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