On the difference property of Borel measurable functions

Hiroshi Fujita, and Tamás Mátrai. "On the difference property of Borel measurable functions." Fundamenta Mathematicae 208.1 (2010): 57-73. <http://eudml.org/doc/282971>.

@article{HiroshiFujita2010,
abstract = {If an atomlessly measurable cardinal exists, then the class of Lebesgue measurable functions, the class of Borel functions, and the Baire classes of all orders have the difference property. This gives a consistent positive answer to Laczkovich's Problem 2 [Acta Math. Acad. Sci. Hungar. 35 (1980)]. We also give a complete positive answer to Laczkovich's Problem 3 concerning Borel functions with Baire-α differences.},
author = {Hiroshi Fujita, Tamás Mátrai},
journal = {Fundamenta Mathematicae},
keywords = {difference property; Lebesgue measurable functions; Borel functions; Baire class functions; real-valued measurable cardinals},
language = {eng},
number = {1},
pages = {57-73},
title = {On the difference property of Borel measurable functions},
url = {http://eudml.org/doc/282971},
volume = {208},
year = {2010},
}

TY - JOUR
AU - Hiroshi Fujita
AU - Tamás Mátrai
TI - On the difference property of Borel measurable functions
JO - Fundamenta Mathematicae
PY - 2010
VL - 208
IS - 1
SP - 57
EP - 73
AB - If an atomlessly measurable cardinal exists, then the class of Lebesgue measurable functions, the class of Borel functions, and the Baire classes of all orders have the difference property. This gives a consistent positive answer to Laczkovich's Problem 2 [Acta Math. Acad. Sci. Hungar. 35 (1980)]. We also give a complete positive answer to Laczkovich's Problem 3 concerning Borel functions with Baire-α differences.
LA - eng
KW - difference property; Lebesgue measurable functions; Borel functions; Baire class functions; real-valued measurable cardinals
UR - http://eudml.org/doc/282971
ER -