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/