Some remarks on indicatrices of measurable functions

• Autorzy: Kysiak M.

Identyfikatory

DOI

10.4064/ba53-3-5

• Języki publikacji: EN

Abstrakty

EN

We show that for a wide class of σ-algebras A, indicatrices of A-measurable functions admit the same characterization as indicatrices of Lebesgue-measurable functions. In particular, this applies to functions measurable in the sense of Marczewski.

Słowa kluczowe

EN

indicatrix; Marczewski-measurable function

PL

indykatrysa

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: Vol. 53, no 3
• Strony: 281--284
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Kysiak M.

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

Bibliografia

• [1] A. Bartoszewicz and E. Kotlicka, Relationships between continuity and abstract measurability of functions, Real Anal. Exchange, to appear.
• [2] J. Brendle, Strolling through paradise, Fund. Math. 148 (1995), 1-25.
• [3] A. Komisarski, H. Michalewski, and P. Milewski, Functions equivalent to Borel measurable ones, preprint.
• [4] A. Kwiatkowska, On a continuous function taking every value a given number of times, preprint, 2005.
• [5] M. Morayne and Cz. Ryll-Nardzewski, Functions equivalent to Lebesgue measurable ones, Bull. Polish Acad. Sci. 47 (1999), 263-265.
• [6] I. Reclaw, Restrictions to continuous functions and Boolean algebras, Proc. Amer. Math. Soc. 118 (1993), 791-796.
• [7] E. Szpilrajn (Marczewski), Sur une classe de fonctions de M. Sierpiński et la classe correspondante d’ensembles, Fund. Math. 24 (1935), 17-34.