Skip to main content

Ensembles analytiques: Theoremes de separation et applications

  • Seconde Partie: Exposes 1973/74
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 465))

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. Arsenin (W.J.), Liapunov (A.A.) et Ĉegolkov (E.A.): Arbeiten zur deskriptiven Mengenlehre, Mathematische Forschungsberichte, VEB Deutscher Verlag der Wissenshaften, Berlin 1955 (tranduction allemande d'articles parus dans Uspehi Matem. Nauk, tom. V, fasc. 5 (39), Moscou 1950)

    Google Scholar 

  2. Bourbaki (N.): Eléments de mathématiques. Topologie générale, chapitre 9, 2ème édition, Hermann, Paris 1958

    Google Scholar 

  3. Christensen (J.P.R.): Borel structures (Notes in Math. no10, North Holland Company, 1974)

    Google Scholar 

  4. Ĉoban (M.M.): On B-measurable sections (Soviet Math. Doklady, 13, 1972, p 1473–1477)

    Google Scholar 

  5. Dellacherie (C.): Capacités et processus stochastiques, Ergebn. der Math. vol 67 Springer, Berlin Heidelberg New York 1972

    MATH  Google Scholar 

  6. -: Ensembles analytiques. Capacités. Mesures de Hausdorff, Lect. Notes in Math. no295, Springer, Berlin Heidelberg New York 1972

    MATH  Google Scholar 

  7. -: Une démonstration du théorème de Souslin-Lusin (Sém. de Probabilités VII, Lect. Notes in Math. no321, Springer, Berlin Heidelberg 1973)

    Google Scholar 

  8. Effros (E.G.): Convergence of closed subsets in a topological space (Proc. Amer. Math. Soc. 16, 1965, p. 929–931)

    Article  MathSciNet  MATH  Google Scholar 

  9. Hahn (H.): Reelle Funktionnen (le Teil), Akademische Verlagsgesellschaft, Leipzig 1932

    Google Scholar 

  10. Hausdorff (F.): Mengenlehre (3eme édition, Veit, Berlin 1935) eu Set theory (Chelsea Pub. Comp., New York 1962)

    MATH  Google Scholar 

  11. Hoffmann-Jørgensen (J.): The theory of analytic sets (Aarhus Universitet Mathematik Inst., Various Publications Series no10, 1970)

    Google Scholar 

  12. Hurewicz (W.): Relativ perfekte Teile von Punktmengen und Mengen (A) (Fund. Math. 12 (1928), p 78–109)

    MATH  Google Scholar 

  13. Kondô (M.): Sur l'uniformisation des complémentaires d'analytiques et les ensembles projectifs de 2e. classe (Japan J. Math 15 (1938), p 197–230)

    MATH  Google Scholar 

  14. Kunugui (K.): Contributions à la théorie des ensembles boréliens et analytiques III (J. Fac. Sci. Hokkaide Imperial Univ. 8, 1939/40, p 79–108)

    MathSciNet  Google Scholar 

  15. Kuratowski (C.): Topologie, volumes I et II (PWN, Polish Scientific Publishers, Warszawa 1958 et 1961)

    Google Scholar 

  16. Meyer (P.A.): Probabilités et Potentiel (Hermann, Paris 1966) ou Probability and Potentials (Blaisdell, Boston 1966)

    MATH  Google Scholar 

  17. Novikov (P.S.): La séparabilité des ensembles CA (en russe) (Isvestiya Akad. Nauk SSSR, Ser. mat., 1937, p 253–264)

    Google Scholar 

  18. -: Généralisation du 2e théorème de séparation (en russe) (Doklady Akad. Nauk SSSR 4 (1934) p 8–11)

    Google Scholar 

  19. Preiss (D.): Metric spaces in which Prohorov's theorem is not valid (Z. fur Wahrschein. 27, 1973, p 109–116)

    Article  MathSciNet  MATH  Google Scholar 

  20. -: The convex generation of convex Borel sets in Banach spaces (Mathematika, 20, 1973, p 1–3)

    Article  MathSciNet  MATH  Google Scholar 

  21. Purves (R.): Bimeasurable functions (Fund. Math. 58, 1966, p 149–)

    MathSciNet  MATH  Google Scholar 

  22. Rogers (C.A.): Lusin's second theorem of separation (J. London Math. Soc. 6 1973, p 491–503)

    Article  MathSciNet  MATH  Google Scholar 

  23. Sierpinski (W.): Les ensembles projectifs et analytiques (Mémorial des Sciences Mathématiques, fasc. CXII, Gauthier-Villars, Paris 1950)

    MATH  Google Scholar 

  24. Larman (D.G.): Projecting and uniformising Borel sets with Kδ I (Mathematika 19, 1972, p 231–244)

    Article  MathSciNet  MATH  Google Scholar 

  25. -: Projecting and...II (Mathematika 20, 1973, p 233–246)

    Article  MathSciNet  MATH  Google Scholar 

  26. Ostaszewski (A.J.): Families of compact sets and their universals (Mathematika 21, 1974, p 116–127)

    Article  MathSciNet  MATH  Google Scholar 

  27. Sion (M.): On uniformization of sets in topological spaces (Trans. Amer. Math. Soc. 96, 1960, p 237–246)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Dellacherie, C. (1975). Ensembles analytiques: Theoremes de separation et applications. In: Meyer, P.A. (eds) Séminaire de Probabilités IX Université de Strasbourg. Lecture Notes in Mathematics, vol 465. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103002

Download citation

  • DOI: https://doi.org/10.1007/BFb0103002

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07178-5

  • Online ISBN: 978-3-540-37518-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics