Keywords
- Topological Space
- Measurable Space
- Radon Measure
- Polish Space
- Measurable Selection
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Bibliography of Chapter III
AUMANN, R.J.-Measurable utility and measurable choice theorem. La décision C.N.R.S. (1967), p. 15–26.
BOURBAKI, N.-Topologie générale ch. IX.
BOURBAKI, N.-Espaces vectoriels topologiques ch. I–II.
BOURBAKI, N.-Intégration ch. I–II–III–IV.
BOURBAKI, N.-Intégration ch. IX.
CASTAING, CH.-Sur les multi-applications mesurables. Revue Inf. Rech. Op. 1 (1967)-91–126.
CASTAING, CH.-Sur les multi-applications mesurables. Thèse Caen (1967).
CASTAING, CH.-Intégrales convexes duales. C.R.A.S. 275 (1972), 1331–1334.
DEBREU, G.-Integration of correspondences 5th Berkeley Symposium on Math. Stat. Prob. vol. II, part. I, p. 351–372.
FILIPPOV, A.F.-On certain questions in the theory of optimal control. Siam J. Control, 1(1962), 76–84.
HIMMELBERG, C.J.-JACOBS, M.Q.-VAN VLECK, F.S.-Measurable application, selectors and Filippov's implicit functions lemma. J. Math. An. Appl. 25–2 (1969), 276–284.
HIMMELBERG, C.J.-VAN VLECK, F.S.-Some selection theorems for measurable functions. Can. J. Math. XXI-2 (1969), 394–399.
JACOBS, M.Q.-Measurable multivalued mappings and Lusin's theorem. Tr. A.M.S. 134–3 (1968), 471–481.
KLEE, V.-OLECH, C.-Characterizations of a class of convex sets. Math. Scand. 20–2 (1967) 290–296.
KURATOWSKI, K.-RYLL-NARDZEWSKI, C.-A general theorem on selectors Bull. Ac. Pol. Sc. 13 (1965), 397–403.
LEESE, S.J.-Measurable selections in normed spaces. Proc. Edinburgh Math. Soc. 19(1974) 147–150.
LEESE, S.J.-Multifunctions of Suslin type. Bull. Austr. Math. Soc. II (1974) 395–411.
MEYER, P.A.-Probabilités et potentiel. Hermann (1966).
NEVEU, J.-Bases mathématiques du calcul des probabilités. Masson (1964).
PLIS, A.-Remark on measurable set-valued functions. Bull. Ac. Pol. Sc. 9–12 (1961), 857–859.
ROCKAFELLAR, R.T.-Measurable dependance of convex sets and functions on parameters. J. Math. An. Appl. 28 (1969) 4–25.
ROGERS, C.A.-WILLMOTT, R.C.-On the uniformization of sets in topological spaces. Acta Mathematica 120-1–2 (1968), 1–52.
ROHLIN, V.A.-Selected topics from the metric theory of dynamical systems. Uspehi Mat. Nauk 4–2 (1949), 57–128 (in Russian). American Math. Soc. Translations. Vol. 49, série 2, p. 171–240 (in english).
SAINTE BEUVE, M.F.-Sur la généralisation d'un théorème de section mesurable de von Neumann-Aumann. C.R.A.S. 276 (1973), 1297–1300. and: On the extension of von Neumann-Aumann's theorem. Journal of Funct. An. 17–1 (1974) 112–129.
SION, M.-Uniformization of sets in topological spaces. Tr. A.M.S. 96 (1960) 237–245.
VALADIER, M.-Contribution à l'Analyse Convexe. Thèse, Paris 1970.
VALADIER, M.-Espérance conditionnelle d'un convexe fermé aléatoire. Séminaire d'Analyse Convexe, Montpellier 1972, exposé no 1.
VON NEUMANN, J.-On rings of operators. Reduction theory. Ann. of Math. 50 (1949), 401–485.
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Castaing, C., Valadier, M. (1977). Measurable multifunctions. In: Convex Analysis and Measurable Multifunctions. Lecture Notes in Mathematics, vol 580. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087688
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DOI: https://doi.org/10.1007/BFb0087688
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