论文标题

在不相交家族引起的类似p状的理想上

On P-like ideals induced by disjoint families

论文作者

Marton, Adam, Supina, Jaroslav

论文摘要

我们考虑在理想融合领域中孤立的组合性质,这是一种自然数的两个理想的P属性。我们表明,在不相交家族引起的选定理想中,并非所有对都满足两个理想的p-opoperty。在许多情况下,我们指定相应理想具有该特性的诱导分区。关于选择器理想,提供了有用的着色必要条件。

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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