On some theorem on measurable selection

• Autorzy: Shragin I.V.
• Języki publikacji: EN

Abstrakty

EN

A new proof of some results of V.L. Levin on measurability of projection and on measurable selection is given.

Słowa kluczowe

EN

analytic sets; mesurable selection; Polish space; Souslin space

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2007
• Tom: Vol. 47, [Z] 2
• Strony: 221--225
• Opis fizyczny: bibliogr. 7 poz.

Twórcy

autor

Shragin I.V.

• Isaac V. Shragin Köln, Germany,

Bibliografia

• [1] V.L. Levin, Measurable cross-sections of multivalued mappings, and projections of measurable sets, Funct. Anal. i Prilozh. 12(2) (1978), 40-45 (in Russian) [English translation: Funct. Anal. Appl. 12(2) (1978), 108-112].
• [2] V.L. Levin, Measurable cross-sections of multivalued mappings into topological spaces ,and upper envelopes of Carath´eodory integrands, Soviet Acad. Sci. Dokl. 252(3) (1980), 535-539 (in Russian) [English translation: Soviet Mathematics, Doklady, 21(3) (1980), 771-775].
• [3] D.L. Cohn, Measure theory, Birkhäuser, Boston 1993.
• [4] K. Kuratowski and A. Mostowski, Set theory, North Holland, Amsterdam - New York - Oxford 1976.
• [5] A.S. Kechris, Classical descriptive set theory, Springer Verlag, New York 1995.
• [6] K.R. Parthasarathy, Introduction to probability and measure, Springer Verlag, New York 1978.
• [7] I. Shragin, Superpositional measurability and superposition operator, Astroprint, Odessa 2007.