Functions equivalent to Borel measurable ones

• Autorzy: Komisarski A. , Michalewski H. , Milewski P.
• Języki publikacji: EN

Abstrakty

EN

Let X and Y be two Polish spaces. Functions ƒ, g : X → Y are called equivalent if there exists a bijection φ from X onto itself such that g º φ = ƒ. 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.

Słowa kluczowe

EN

coanalytic sets; equivalent functions; bimeasurable functions

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: Vol. 58, no 1
• Strony: 55--64
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Komisarski A.

autor

Michalewski H.

autor

Milewski P.

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

Bibliografia

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• [9] M. Morayne and C. Ryll-Nardzewski Functions equivalent to Lebesgue measurable ones, Bull. Polish Acad. Sci. Math. 47 (1999), 263-265.
• [10] R. Purves, On bimeasurable functions, Fund. Math. 58 (1966) 149-157.
• [11] J. Saint Raymond, Complete pairs of coanalytic sets, Fund. Math. 194 (2007), 267-281.
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