Functionally Countable Spaces and Baire Functions

@article{Choban1997,
abstract = {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.},
author = {Choban, M.},
journal = {Serdica Mathematical Journal},
keywords = {Functionall; Countable Space; Baire Set; Distinguished Set; Baire Function; Measurable Mapping; Baire set; measurable mapping; distinguished sets},
language = {eng},
number = {3-4},
pages = {233-242},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Functionally Countable Spaces and Baire Functions},
url = {http://eudml.org/doc/11616},
volume = {23},
year = {1997},
}

TY - JOUR
AU - Choban, M.
TI - Functionally Countable Spaces and Baire Functions
JO - Serdica Mathematical Journal
PY - 1997
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 23
IS - 3-4
SP - 233
EP - 242
AB - 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.
LA - eng
KW - Functionall; Countable Space; Baire Set; Distinguished Set; Baire Function; Measurable Mapping; Baire set; measurable mapping; distinguished sets
UR - http://eudml.org/doc/11616
ER -