Ideal generalizations of Egoroff's theorem

DOI10.1007/S00153-020-00725-8zbMath1450.28002OpenAlexW3014745609MaRDI QIDQ2204376

Miroslav Repický

Publication date: 15 October 2020

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-020-00725-8

zbMATH Keywords

Egoroff's theoremideal convergencesequence of functionsideal on \(\omega\)

Mathematics Subject Classification ID

Descriptive set theory (03E15) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Convergence and divergence of series and sequences of functions (40A30) Foundations: limits and generalizations, elementary topology of the line (26A03) Cardinal characteristics of the continuum (03E17) Other classical set theory (including functions, relations, and set algebra) (03E20) Ideal and statistical convergence (40A35)

Cites Work

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• Set theory. An introduction to independence proofs. 2nd print
• Ideal version of Egorov's theorem for analytic P-ideals
• A generalized Egorov's statement for ideals
• On the independence of a generalized statement of Egoroff's theorem from ZFC after T. Weiss

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