More on Arhangel’skiĭ sheaf amalgamations

DOI10.2298/FIL2010369LzbMath1499.40036MaRDI QIDQ5081185

Jiakui Yu, Shuguo Zhang, Meiyan Liu

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

ideal convergenceArkhangel'skiĭ sheaf amalgamationssequence selection properties

Mathematics Subject Classification ID

Pathological topological spaces (54G15) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Foundations: limits and generalizations, elementary topology of the line (26A03) Ideal and statistical convergence (40A35)

Cites Work

• Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations
• Three kinds of convergence and the associated \(\mathcal I\)-Baire classes
• Ideal convergence of continuous functions
• The sequence selection properties of \(C_p(X)\)
• QN-spaces, wQN-spaces and covering properties
• Ideal QN-spaces
• Selection principles related to \(\alpha\)-properties
• Spaces not distinguishing pointwise and quasinormal convergence of real functions
• \(C_p(X)\) and Arhangel'skiĭ's \(\alpha_i\)-spaces
• A-sets
• The combinatorics of Borel covers
• \(\mathcal I\)-convergence
• Combinatorics of open covers. I: Ramsey theory
• Ideal quasi-normal convergence and related notions
• More on cardinal invariants of analytic P-ideals
• The Structure of the Real Line
• A sequential property of $\mathsf {C}_p(X)$ and a covering property of Hurewicz
• Sur la convergence statistique
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