Functionally Countable Spaces and Baire Functions
Serdica Mathematical Journal, Tome 23 (1997) no. 3-4, pp. 233-242
Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library
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},
publisher = {mathdoc},
volume = {23},
number = {3-4},
year = {1997},
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/