Homogeneous ideals on countable sets

DOI10.1007/s10474-016-0669-zzbMath1399.03010arXiv1607.05610OpenAlexW2495713616MaRDI QIDQ524156

Jacek Tryba, Adam Kwela

Publication date: 25 April 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05610

zbMATH Keywords

idealfilterhomogeneous idealideal convergenceanti-homogeneous idealbi-invariant injectioninvariant injection

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Foundations: limits and generalizations, elementary topology of the line (26A03) Other combinatorial set theory (03E05) Ideal and statistical convergence (40A35)

Related Items (12)

Some applications of the theory of Katětov order to ideal convergence ⋮ Characterizing existence of certain ultrafilters ⋮ Characterizations of ideal cluster points ⋮ On a conjecture of Debs and Saint Raymond ⋮ Unboring ideals ⋮ Erdős-Ulam ideals vs. simple density ideals ⋮ Inductive limits of ideals ⋮ A series of series topologies on \(\mathbb{N} \) ⋮ Properties of simple density ideals ⋮ On extendability to \(F_\sigma\) ideals ⋮ Ideal versions of the Bolzano-Weierstrass property ⋮ New Hindman spaces

Cites Work

• Ideal invariant injections
• Convergence in van der Waerden and Hindman spaces
• Cardinal coefficients associated to certain orders on ideals
• A note on a new ideal
• Van der Waerden spaces
• Hindman spaces
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
• When does the Katětov order imply that one ideal extends the other?

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