On the difference property of Borel measurable functions

• Autorzy: Hiroshi Fujita , Tamás Mátrai
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03E15: Descriptive set theory
• 54H15: Transformation groups and semigroups
• 28A05: Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2010
• Tom: 208
• Numer: 1
• Strony: 57-73

Daty

wydano

2010

Twórcy

autor

Hiroshi Fujita

• Graduate School of Science and Technology, Ehime University, Matsuyama 790-8577, Japan

autor

Tamás Mátrai

• Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda utca 13-15, H-1053 Budapest, Hungary

Identyfikatory

DOI

10.4064/fm208-1-4