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Ideal generalizations of Egoroff’s theorem

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Abstract

We investigate the classes of ideals for which the 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 Korch (Real Anal Exchange 42(2):269–282, 2017).

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Correspondence to Miroslav Repický.

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The author was supported by Grant VEGA 1/0097/16.

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Repický, M. Ideal generalizations of Egoroff’s theorem. Arch. Math. Logic 59, 957–977 (2020). https://doi.org/10.1007/s00153-020-00725-8

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  • DOI: https://doi.org/10.1007/s00153-020-00725-8

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