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).

中文翻译：

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Egoroff定理的理想推广

我们研究理想点的类别，在这些理想点上，Egoroff定理或广义Egoroff定理在逐点收敛和统一收敛的理想版本之间成立。本文是出于考尔奇的考虑而制定的（Real Anal Exchange 42（2）：269-282，2017）。