Generalized Egorov's statement for ideals
classification
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math.CA
keywords
egorovgeneralizedstatementconvergenceidealassumptioncasecases
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We consider the generalized Egorov's statement (Egorov's Theorem without the assumption on measurability of the functions, see \cite{tw:nget}) in the case of an ideal convergence and a number of different types of ideal convergence notion. We prove that in those cases the generalized Egorov's statement is independent from ZFC.
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