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Maße auf topologischen Räumen

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Maß- und Integrationstheorie

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Zusammenfassung

Es liegt in der Natur der Sache, daß wir in Kap. VIII beim Leser mehr Kenntnisse aus der mengentheoretischen Topologie voraussetzen müssen als in den vorangehenden Kapiteln. Die Bücher von v. Querenburg [1] und Schubert [1] sind bei Bedarf zuverlässige Ratgeber. Wir rekapitulieren die zugrundegelegte Terminologie und einige grundlegende Sachverhalte in Anhang A.

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Literaturverzeichnis

  • Schwartz, L.: [1] Radon measures on arbitrary topological spaces and cylindrical measures. London: Oxford University Press 1973.

    MATH  Google Scholar 

  • Gardner, R.J.: [1] The regularity of Borel measures. In: Measure Theory Oberwolfach 1981. Lect. Notes Math. 945, 42–100. Berlin–Heidelberg–New York: Springer-Verlag 1982.

    Article  Google Scholar 

  • Gardner, R.J.; Pfeffer, W.F.: [1] Borel measures. In: Handbook of set-theoretic topology, chapter 22, 961–1043. Ed. by K. Kunen and J.E. Vaughan. Amsterdam etc.: North-Holland Publ. Compo. 1984.

    Chapter  Google Scholar 

  • Pfeffer, W.F.: [1] Integrals and measures. New York–Basel: M. Dekker, Inc. 1977.

    MATH  Google Scholar 

  • Markoff, A.A.: [1] On mean values and exterior densities. Mat. Sbornik, Nov. Ser., 4 (46), 165–191 (1938).

    Google Scholar 

  • Alexandroff, A.D.: [1] Additive set–functions in abstract spaces, I–III. Mat. Sbornik, Nov. Ser., 8 (50), 307–348 (1940); 9 (51), 563–628 (1941); 13 (55), 169–238 (1943).

    MathSciNet  Google Scholar 

  • Choquet, G.: [1] Theory of capacities. Ann. Inst. Fourier 5, 131–295 (1955).

    Article  MathSciNet  Google Scholar 

  • Choquet, G.: [2] Lectures on analysis, Vol. I–III. Reading, Mass.: W.A. Benjamin, Inc. 1969.

    Google Scholar 

  • Kakutani, S.: [1] Concrete representations of abstract (M)–spaces. (A characterization of the space of continuous functions.) Ann. Math., II. Ser., 42, 994–1024 (1941).

    Article  MATH  MathSciNet  Google Scholar 

  • Cartan, H.: [1] Sur la mesure de Haar. C.R. Acad. Sci. Paris 211, 759–762 (1940); Œuvres, Vol. III, S. 1020–1022. Berlin–Heidelberg–New York: Springer-Verlag 1979.

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Fachbereich Mathematik und Informatik, Westfälische Wilhelms-Universität Münster, Einsteinstraße 62, 48149, Münster, Deutschland

    Prof. Dr. Jürgen Elstrodt

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  1. Prof. Dr. Jürgen Elstrodt
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Correspondence to Jürgen Elstrodt .

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Elstrodt, J. (2011). Maße auf topologischen Räumen. In: Maß- und Integrationstheorie. Springer-Lehrbuch. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17905-1_8

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