Functions Equivalent to Borel Measurable Ones

• Autorzy: Andrzej Komisarski , Henryk Michalewski , Paweł Milewski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
• 03E15: Descriptive set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: 58
• Numer: 1
• Strony: 55-64

Daty

wydano

2010

Twórcy

autor

Andrzej Komisarski

• Institute of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

autor

Henryk Michalewski

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

autor

Paweł Milewski

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/ba58-1-7