Functions Equivalent to Borel Measurable Ones

Andrzej Komisarski, Henryk Michalewski, and Paweł Milewski. "Functions Equivalent to Borel Measurable Ones." Bulletin of the Polish Academy of Sciences. Mathematics 58.1 (2010): 55-64. <http://eudml.org/doc/286264>.

@article{AndrzejKomisarski2010,
abstract = {Let X and Y be two Polish spaces. Functions f,g: X → Y are called equivalent if there exists a bijection φ from X onto itself such that g∘φ = f. Using a theorem of J. Saint Raymond we characterize functions equivalent to Borel measurable ones. This characterization answers a question asked by M. Morayne and C. Ryll-Nardzewski.},
author = {Andrzej Komisarski, Henryk Michalewski, Paweł Milewski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Equivalent functions; Borel functions; bimeasurable functions; coanalytic sets},
language = {eng},
number = {1},
pages = {55-64},
title = {Functions Equivalent to Borel Measurable Ones},
url = {http://eudml.org/doc/286264},
volume = {58},
year = {2010},
}

TY - JOUR
AU - Andrzej Komisarski
AU - Henryk Michalewski
AU - Paweł Milewski
TI - Functions Equivalent to Borel Measurable Ones
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2010
VL - 58
IS - 1
SP - 55
EP - 64
AB - Let X and Y be two Polish spaces. Functions f,g: X → Y are called equivalent if there exists a bijection φ from X onto itself such that g∘φ = f. Using a theorem of J. Saint Raymond we characterize functions equivalent to Borel measurable ones. This characterization answers a question asked by M. Morayne and C. Ryll-Nardzewski.
LA - eng
KW - Equivalent functions; Borel functions; bimeasurable functions; coanalytic sets
UR - http://eudml.org/doc/286264
ER -