On weakly measurable functions

• Autorzy: Żeberski S.

Identyfikatory

DOI

10.4064/ba53-4-7

• Języki publikacji: EN

Abstrakty

EN

We show that if T is an uncountable Polish space, X is a metrizable space and f : T → X is a weakly Baire measurable function, then we can find a meagre set M ⊆ T such that f [T ∖ M] is a separable space. We also give an example showing that “metrizable” cannot be replaced by “normal”.

Słowa kluczowe

EN

Baire property; meager set; measurable function

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: Vol. 53, no 4
• Strony: 421--428
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Żeberski S.

• Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland,

Bibliografia

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• [2] J. Cichoń and A. Kharazishvili, On ideals with projective bases, Georgian Math. J. 9 (2002), 472-561.
• [3] J. Cichoń, M. Morayne, R. Ralowski, C. Ryll-Nardzewski and S. Żeberski, On non-measurable unions, to appear.
• [4] R. Engelking, General Topology, PWN, Warszawa, 1985.
• [5] D. H. Fremlin, Measure-additive coverings and measurable selectors, Dissertationes Math. 260 (1987).
• [6] A. S. Kechris, Classical Descriptive Set Theory, Grad. Texts in Math. 156, Springer, 1994.