Coordinatewise decomposition of group-valued Borel functions

• Autorzy: Benjamin D. Miller
• Języki publikacji: EN

Abstrakty

EN

Answering a question of Kłopotowski, Nadkarni, Sarbadhikari, and Srivastava, we characterize the Borel sets S ⊆ X × Y with the property that every Borel function f: S → ℂ is of the form f(x,y) = u(x) + v(y), where u: X → ℂ and v: Y → ℂ are Borel.

Kategorie tematyczne

• 03E15: Descriptive set theory
• 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: 2007
• Tom: 196
• Numer: 2
• Strony: 119-126

Daty

wydano

2007

Twórcy

autor

Benjamin D. Miller

• Department of Mathematics, University of California, 520 Portola Plaza, Los Angeles, CA 90095-1555, U.S.A.

Identyfikatory

DOI

10.4064/fm196-2-2