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Sur la mesurabilité d’une fonction numérique par rapport à une famille d’ensembles. (French) Zbl 0507.28005


MSC:

28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
28A25 Integration with respect to measures and other set functions
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
28A10 Real- or complex-valued set functions
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References:

[1] E. De Giorgi - G. Letta , Une notion général de convergence faible pour des fonctions croissantes d’ensemble , Ann. Sc. Nor. Pisa , 4 ( IV ) ( 1977 ), pp. 61 - 99 . Numdam | MR 466479 | Zbl 0405.28008 · Zbl 0405.28008
[2] I. Glicksberg , The representation of functionals by integrals , Duke Math. J. , 19 ( 1952 ), pp. 253 - 261 . Article | MR 50168 | Zbl 0048.09004 · Zbl 0048.09004 · doi:10.1215/S0012-7094-52-01926-1
[3] G.H. Greco , Integrale monotono , Rend. Sem. Mat. Padova , 57 ( 1977 ), pp. 149 - 166 . Numdam | MR 526188 | Zbl 0412.28005 · Zbl 0412.28005
[4] G.H. Greco , R.C. Bassanezi , Sull’additività di alcuni funzionali definiti su coni di funzioni (preprint).
[5] P.A. Meyer , Probabilités et potentiel , Hermann , 1966 . MR 205287 | Zbl 0138.10402 · Zbl 0138.10402
[6] R. Sikorski , Boolean algebras , Springer-Verlag , 1969 . Zbl 0123.01303 · Zbl 0123.01303
[7] H. Tong , Some characterizations of normal and perfectly spaces , Duke Math. J. , 19 ( 1952 ), pp. 289 - 292 . Article | MR 50265 | Zbl 0046.16203 · Zbl 0046.16203 · doi:10.1215/S0012-7094-52-01928-5
[8] V.S. Varadarayan , Measures on topological spaces , Amer. Math. Soc. Transl. , ser. II , 48 ( 1965 ), pp. 161 - 228 . Zbl 0152.04202 · Zbl 0152.04202
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