This note is closely related to the paper [8] and it presents slight improvements of its results. Theorem 1.13 shows a connection with Galois-Tukey embeddings, Corollary 1.14 presents another inequality which is dualto the previously known one; Corollary 3.5 shows that there is no distinction between positive outer measure and full outer measure in the given context, and Corollary 4.3 unies the known counterexamples.
@article{42,
title = {Generalized Egoroff's theorem},
journal = {Tatra Mountains Mathematical Publications},
volume = {43},
year = {2009},
doi = {10.2478/tatra.v44i0.42},
language = {EN},
url = {http://dml.mathdoc.fr/item/42}
}
Repický, Miroslav. Generalized Egoroff's theorem. Tatra Mountains Mathematical Publications, Tome 43 (2009) . doi : 10.2478/tatra.v44i0.42. http://gdmltest.u-ga.fr/item/42/