When does the Katětov order imply that one ideal extends the other?

DOI10.4064/CM130-1-9zbMath1291.03081OpenAlexW2332186838MaRDI QIDQ4910523

Rafał Filipów, Paweł Barbarski, Piotr Szuca, Nikodem Mrożek

Publication date: 18 March 2013

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm130-1-9

zbMATH Keywords

ideal convergenceKatětov orderBolzano-Weierstrass propertyextending idealsBW propertyrank of filtersrank of ideals

Mathematics Subject Classification ID

Descriptive set theory (03E15) Other combinatorial set theory (03E05) Ideal and statistical convergence (40A35)

Related Items (12)

Some structural aspects of the Katětov order on Borel ideals ⋮ Some Applications of the Katětov Order on Borel Ideals ⋮ Characterizing existence of certain ultrafilters ⋮ Ideal equal Baire classes ⋮ On a conjecture of Debs and Saint Raymond ⋮ Ideal approach to convergence in functional spaces ⋮ Unboring ideals ⋮ Banach spaces of \(\mathcal{I} \)-convergent sequences ⋮ On P-like ideals induced by disjoint families ⋮ Homogeneous ideals on countable sets ⋮ Inductive limits of ideals ⋮ A note on a new ideal

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