Some applications of the theory of Katětov order to ideal convergence

DOI10.1016/J.TOPOL.2020.107545zbMath1479.54017OpenAlexW3111269918MaRDI QIDQ820704

Shuguo Zhang, Hang Zhang

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107545

zbMATH Keywords

ideal convergenceKatětov orderBorel complexity\( \mathcal{I} \)-closed\(K\)-uniform

Mathematics Subject Classification ID

Consistency and independence results (03E35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Cardinal characteristics of the continuum (03E17)

Related Items (2)

\( \mathcal{I} \)-connected spaces and the images of metric spaces ⋮ \(\mathcal{I}_{sn}\)-sequential spaces and the images of metric spaces

Cites Work

• Unnamed Item
• Homogeneous ideals on countable sets
• The cardinal characteristic for relative \(\gamma \)-sets
• Katětov order on Borel ideals
• MATHIAS FORCING AND COMBINATORIAL COVERING PROPERTIES OF FILTERS
• $F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.
• TOWERS IN FILTERS, CARDINAL INVARIANTS, AND LUZIN TYPE FAMILIES

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