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Measurability of functions of two variables. (English) Zbl 0257.28007


MSC:

28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
28A35 Measures and integrals in product spaces
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
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References:

[1] ДЫНКИН Є. Б.: Основания теории марковских процессов. Москва 1959. · Zbl 1234.81002
[2] HALMOS P. R.: Measure Theory. Princeton 1968.
[3] KELLEY. J. L.: General Topology. · Zbl 0181.25401
[4] MAHOWALD M.: On the measurability of functions in two variables. Proc. Amer. Math. Soc. 13, 1962, 410-411. · Zbl 0111.25601
[5] MARCZEWSKI E., RYLL-NARDZEWSKI C.: Mesurabilité des fonctions des plusieurs variables. Ann. Soc. polon. Math. 25, 1951, 145-154. · Zbl 0048.28604
[6] MICHAEL J. H., RENNIE B. C.: Measurability of functions of two variables. J.Austral. Math. Soc. 1, 1959, 21-26. · Zbl 0094.25903
[7] NEUBRUNN T.: Merateľnos\? niektorých funkcií na kartézskych súčinoch. Mat.-fyz. časop. 10, 1960, 216-221.
[8] NEUBRUNN T.: Príspevok k merateľným a metrickým priestorom. Habilitačná práca. Bratislava 1963.
[9] NEUBRUNN T., SMÍTAL J., ŠALÁT T.: On certain properties characterizing locally separable metric spaces. Časop. p\?stov. mat. 92, 1967, 157-161. · Zbl 0171.43701
[10] URSELL H. D.: Some methods of proving measurability. Fundam. math. 32, 1939, 311-330. · Zbl 0021.11302
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