English

Generalized Egorov's statement for ideals

Logic 2018-02-16 v1 Classical Analysis and ODEs

Abstract

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.

Keywords

Cite

@article{arxiv.1802.05303,
  title  = {Generalized Egorov's statement for ideals},
  author = {Michał Korch},
  journal= {arXiv preprint arXiv:1802.05303},
  year   = {2018}
}
R2 v1 2026-06-23T00:22:50.661Z