Some remarks on Carathéodory conditions

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

Abstrakty

EN

Let [formula] be metric spaces. For the maps from [formula] the notionsof supmeasurability, standardness and Carathéodory conditions are considered, and the logical relations between these notions are discussed.

Słowa kluczowe

EN

supmeasurable function; standard function; Caratheodory function

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2005
• Tom: Vol. 45, [Z] 1
• Strony: 131--135
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Shragin I.V.

• Florenzen Str. 2-6, 20/2, 50765 Köln, Germany,

Bibliografia

• [1] I. V. Shragin, Conditions for measurability of superpositions, Soviet Acad. Sci. Dokl. 197(2) (1971), 295-298 (in Russian) [English translation: Soviet Mathematics, Doklady, 12(2) (1971), 465-470].
• [2] I. V. Shragin, Superpositional measurability, Izvestija Vysshikh Uchebnykh Zavedenij, Matematika 1 (1975), 82-92 (in Russian).
• [3] S. J. Leese, Measurable selections and the uniformization of Souslin sets, Amer. J. Math. 100(1) (1978), 19-41.
• [4] K. Kuratowski, Topology, v.1, Academic Press, New York and London 1966.
• [5] D. L. Cohn, Measure theory, Birkhäuser, Boston 1993.
• [6] I. Kaplansky, Set theory and metric spaces, Chelsea Publ. Comp., New York 1977.