This is a preview of subscription content, log in via an institution to check access.
References
Bauer, H.: Wahrscheinlichkeitstheorie und Grundzüge der Maßtheorie, 1. Aufl. Berlin: de Gruyter 1968
Christensen, J.P.R.: Topology and Borel structure. Amsterdam, London, New York: North-Holland/American Elsevier 1974
Choksi, J.R., Simha, R.R.: Measurable transformations on homogeneous spaces. In: Studies in probability and ergodic theory. Advances in Math. Suppl.2, 269–286 (1979)
Douglas, R.G.: On extremal measures and subspace density. Michigan Math.11, 243–246 (1964)
Edgar, G.A.: Measurable weak sections. Illinois J. Math.20, 630–646 (1976)
Hoffmann-Jørgensen, J.: The theory of analytic spaces. Various Publ Ser. No. 10. Aarhus: Aarhus Universitet 1970
Ionescu Tulcea, C.: Sur certains endomorphismes deL ∞ C (Z,μ). C.R. Acad. Sci. Paris261, 4961–4963 (1965)
Ionescu Tulcea, A., Ionescu Tulcea, C.: Topics in the theory of lifting. Berlin, Heidelberg, New York: Springer 1969
Kuratowski, K., Ryll-Nardzewski, C.: A general theorem on selectors. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astron. Phys.13, 397–403 (1965)
Lehn, J., Mägerl, G.: On the uniqueness of pre-image measures. Z. Wahrscheinlichkeitstheorie Verw. Geb.38, 333–357 (1977)
Maharam, D.: Automorphisms of products of measure spaces. Proc. Amer. Math. Soc.9, 702–707 (1958)
Meyer, P.A.: La theorie de la prediction de F. Knight. In: Séminaire de ProbabilitésX (Meyer, P.A. ed.). Lecture Notes in Mathematics511, pp. 86–103. Berlin, Heidelberg, New York: Springer 1976
von Neumann, J.: Einige Sätze über meßbare Abbildungen. Ann. of Math.33, 574–586 (1932)
Plachky, D.: Extremal and monogenic additive set functions. Proc. Amer. Math. Soc.54, 193–196 (1976)
Portenier, C.: Points extrémaux et densité. Math. Ann.209, 83–89 (1974)
Rao, M.: Measurable selections of representing measures. Quat. J. Math., Oxford II. Ser.22, 571–573 (1971)
Schwartz, L.: Surmartingales régulières à valeurs measures et désintégrations régulières d'une mesure. J. Analyse math.XXVI, 1–168 (1973)
Schwartz, L.: Radon measures on arbitrary topological spaces and cylindrical measures. London: Oxford University Press 1973
Sikorski, R.: On the inducing of homomorphisms by mappings. Fund. Math.36, 7–22 (1949)
Sikorski, R.: Boolean algebras. 3rd edition. Berlin, Heidelberg, New York: Springer 1964
Vesterstrøm, J., Wils, W.: On point realizations ofL ∞-endomorphisms. Math. Scand.25, 178–180 (1969)
von Weizsäcker, H., Winkler, G.: Integral representation in the set of solutions of a generalized moment problem. Math. Ann.246, 23–32 (1979)
Yershov (Ershov), M.P.: Extensions of measures and stochastic equations. Theor. Prob. Appl.19, 431–444 (1974)
Yershov (Ershov), M.P.: The Choquet theorem and stochastic equations. Analysis Mathematica1, 259–271 (1975)
Yershov (Ershov), M.P.: Second disintegration of measures. Institutsbericht Nr. 135, Linz: Institut für Mathematik der Johannes Kepler Universität Linz 1979
Yershov (Ershov), M.P.: On measurable modifications of functions and processes. Preprint. Linz 1979
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Graf, S. Induced σ-homomorphisms and a parametrization of measurable sections via extremal preimage measures. Math. Ann. 247, 67–80 (1980). https://doi.org/10.1007/BF01359867
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01359867