Le problème de la mesure

Jacques Stern

Séminaire Bourbaki (1983-1984)

  • Volume: 26, page 325-346
  • ISSN: 0303-1179

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Stern, Jacques. "Le problème de la mesure." Séminaire Bourbaki 26 (1983-1984): 325-346. <http://eudml.org/doc/110033>.

@article{Stern1983-1984,
author = {Stern, Jacques},
journal = {Séminaire Bourbaki},
keywords = {axioms of set theory; measure problem; historical exposition},
language = {fre},
pages = {325-346},
publisher = {Société Mathématique de France},
title = {Le problème de la mesure},
url = {http://eudml.org/doc/110033},
volume = {26},
year = {1983-1984},
}

TY - JOUR
AU - Stern, Jacques
TI - Le problème de la mesure
JO - Séminaire Bourbaki
PY - 1983-1984
PB - Société Mathématique de France
VL - 26
SP - 325
EP - 346
LA - fre
KW - axioms of set theory; measure problem; historical exposition
UR - http://eudml.org/doc/110033
ER -

References

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  1. (1) P.J. Cohen, The independance of the continuum hypothesis, parts I, II, Proc. nat. Acad. Sci.50 (1963) 1143-1148 ; 51 (1964) 105-110. Zbl0192.04401MR159745
  2. (2) K. Gödel, The consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory, Annals of Mathematics Studies n° 3, Princeton University Press, Princeton N.J. (1940). Zbl0061.00902MR2514
  3. (3) N. Lusin, Sur la classification de M. Baire. C.R. Acad. Sci. Paris164 (1917) 91-94. JFM46.0390.03
  4. (4) D.A. Martin and R.M. Solovay, Internal Cohen extensions, Annals of Math. Logic2 (1970) 143-178. Zbl0222.02075MR270904
  5. (5) J. Raisonnier, A mathematical proof of S. Shelah's theorem on the measure problem and related results, Israël J. Math. à paraître. Zbl0596.03056
  6. (6) J. Raisonnier et J. Stern, Mesurabilité et propriété de Baire, C.R.A.S. Paris t. 296 (1983) 323-326. Zbl0549.03038MR697963
  7. (7) S. Shelah, The measure case, notes manuscrites (1980). 
  8. (8) W. Sierpinski, Sur les rapports entre l'existence des intégrales ∫10f(x,y)dy, ∫10f(x,y)dy, ∫10dx ∫10f(x,y)dy, Fund Math.1 (1920) 142-147. Zbl47.0245.01JFM47.0245.01
  9. (9) W. Sierpinski, Fonctions additives non complètement additives et fonctions non mesurables, Fund. Math.30 (1938) 96-99. Zbl0018.11403
  10. (10) R.M. Solovay, A model of set theory in which every set of reals is Lebesgue measurable, Annals of Math, 92 (1970) 1-56. Zbl0207.00905MR265151
  11. (11) J. Stern, Regularity properties of definable sets of reals, Annals of Math. Logic, à paraître. Zbl0583.03033
  12. (12) M. Talagrand, Compacts de fonctions mesurables et filtres non mesurables, Studia. Math. LXVII (1980) 13-43. Zbl0435.46023MR579439
  13. (13) G. Vitali, Sul problema della mesura dei gruppi di punti di una retta, Bologna (1905). Zbl36.0586.03JFM36.0586.03

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