A Generalized Egorov’s Statement for Ideals

Mikhail Korch

doi:10.14321/realanalexch.42.2.0269

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Home > Journals > Real Anal. Exchange > Volume 42 > Issue 2 > Article

2017 A Generalized Egorov’s Statement for Ideals

Mikhail Korch

Real Anal. Exchange 42(2): 269-282 (2017). DOI: 10.14321/realanalexch.42.2.0269

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Abstract

We consider the generalized Egorov’s statement (Egorov’s Theorem without the assumption on measurability of the functions, see Weiss (2004)) in the case of an ideal convergence and a number of different types of ideal convergence notions. We prove that in those cases the generalized Egorov’s statement is independent from ZFC.

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Mikhail Korch. "A Generalized Egorov’s Statement for Ideals." Real Anal. Exchange 42 (2) 269 - 282, 2017. https://doi.org/10.14321/realanalexch.42.2.0269