Functionally Countable Spaces and Baire Functions
Serdica Mathematical Journal, Tome 23 (1997) no. 3-4, pp. 233-242
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.
Keywords:
Functionall, Countable Space, Baire Set, Distinguished Set, Baire Function, Measurable Mapping
@article{SMJ2_1997_23_3-4_a4,
author = {Choban, M.},
title = {Functionally {Countable} {Spaces} and {Baire} {Functions}},
journal = {Serdica Mathematical Journal},
pages = {233--242},
year = {1997},
volume = {23},
number = {3-4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_1997_23_3-4_a4/}
}
Choban, M. Functionally Countable Spaces and Baire Functions. Serdica Mathematical Journal, Tome 23 (1997) no. 3-4, pp. 233-242. http://geodesic.mathdoc.fr/item/SMJ2_1997_23_3-4_a4/