Open Access
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


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.


Published: 2017
First available in Project Euclid: 10 May 2018

zbMATH: 06870330
MathSciNet: MR3721802
Digital Object Identifier: 10.14321/realanalexch.42.2.0269

Primary: 03E20 , 03E35 , 26A03 , 28A20 , 40A35
Secondary: 03E17 , 40A30

Keywords: Egorov's theorem , generalized Egorov's statement , ideal convergence

Rights: Copyright © 2017 Michigan State University Press

Vol.42 • No. 2 • 2017
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