On the quasinormal convergence of functions

DOI10.1134/S0001434621010144zbMath1468.54007OpenAlexW3181616090MaRDI QIDQ2037637

Yanyan Li

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621010144

zbMATH Keywords

Baire space\(C_p\)-theoryBaire functionquasinormal convergence\(QN\)-space\( \alpha_1\)-property

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Real-valued functions in general topology (54C30) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)

Cites Work

• Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations
• Representation of certain functions under Martin's axiom
• The sequence selection properties of \(C_p(X)\)
• QN-spaces, wQN-spaces and covering properties
• Spaces not distinguishing pointwise and quasinormal convergence of real functions
• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero
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