Ideal generalizations of Egoroff’s theorem. (English) Zbl 1450.28002

Author’s abstract: We investigate the classes of ideals for which Egoroff’s theorem or the generalized Egoroff’s theorem holds between ideal versions of pointwise and uniform convergences. The paper is motivated by considerations of M. Korch [Real Anal. Exch. 42, No. 2, 269–282 (2017; Zbl 1392.28006)].
Reviewer: Hans Weber (Udine)


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


Zbl 1392.28006
Full Text: DOI


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