Ultrafilters and the Katětov order

DOI10.1016/J.TOPOL.2024.109191MaRDI QIDQ6664359

Adam Kwela, Krzysztof Kowitz

Publication date: 16 January 2025

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

idealcontinuum hypothesisultrafilterKatětov orderBorel ideal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Applications of set theory (03E75) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Cites Work

• Title not available (Why is that?)
• On Hindman spaces and the Bolzano-Weierstrass property
• Topological representations
• Convergence in van der Waerden and Hindman spaces
• Homogeneous ideals on countable sets
• Homogeneity problems in the theory of Cech compactifications
• The Shelah P-point independence theorem
• Characterizing existence of certain ultrafilters
• Ramsey type properties of ideals
• Katětov order on Borel ideals
• Generic existence of ultrafilters on the natural numbers
• Ideal version of Ramsey’s theorem
• Statistical Limit Points
• On Certain Boolean Algebras P(ω)/I
• Some points in βN
• TOWERS IN FILTERS, CARDINAL INVARIANTS, AND LUZIN TYPE FAMILIES
• Ultrafilters on ω
• When does the Katětov order imply that one ideal extends the other?
• Ideal convergence of bounded sequences
• Unboring ideals

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