Functionall Countable Space Baire Set Distinguished Set Baire Function Measurable Mapping
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 23, No 3-4, (1997), 233p-242p
The concept of the distinguished sets is applied to the investigation
of the functionally countable spaces. It is proved that every Baire
function on a functionally countable space has a countable image. This is a
positive answer to a question of R. Levy and W. D. Rice.