A stabilization property and its applications in the theory of sections
Séminaire Choquet. Initiation à l'analyse, Tome 17 (1977-1978) no. 1, Exposé no. 5, 23 p.
@article{SC_1977__17_1_A3_0,
     author = {Bourgain, Jean},
     title = {A stabilization property and its applications in the theory of sections},
     journal = {S\'eminaire Choquet. Initiation \`a l'analyse},
     note = {talk:5},
     pages = {1--23},
     publisher = {Secr\'etariat math\'ematique},
     volume = {17},
     number = {1},
     year = {1977-1978},
     mrnumber = {522979},
     zbl = {0416.04001},
     language = {en},
     url = {http://archive.numdam.org/item/SC_1977__17_1_A3_0/}
}
TY  - JOUR
AU  - Bourgain, Jean
TI  - A stabilization property and its applications in the theory of sections
JO  - Séminaire Choquet. Initiation à l'analyse
N1  - talk:5
PY  - 1977-1978
SP  - 1
EP  - 23
VL  - 17
IS  - 1
PB  - Secrétariat mathématique
UR  - http://archive.numdam.org/item/SC_1977__17_1_A3_0/
LA  - en
ID  - SC_1977__17_1_A3_0
ER  - 
%0 Journal Article
%A Bourgain, Jean
%T A stabilization property and its applications in the theory of sections
%J Séminaire Choquet. Initiation à l'analyse
%Z talk:5
%D 1977-1978
%P 1-23
%V 17
%N 1
%I Secrétariat mathématique
%U http://archive.numdam.org/item/SC_1977__17_1_A3_0/
%G en
%F SC_1977__17_1_A3_0
Bourgain, Jean. A stabilization property and its applications in the theory of sections. Séminaire Choquet. Initiation à l'analyse, Tome 17 (1977-1978) no. 1, Exposé no. 5, 23 p. http://archive.numdam.org/item/SC_1977__17_1_A3_0/

[1] Arsenin (W.J.), Ljapuncv (A.A.), Čegolkov (E.A.). - Arbeiten zur deskriptiven Mengenlehre. - Berlin VEB Deutscher Verlag der Wissenschaften, 1955 (Mathematische Forschungsberichte, 1). | MR | Zbl

[2] Baire (R.). - Sur les fonctions des variables réelles, Annali Mat. pura ed appl., 3e Série, t. 3, 1899, p. 1-123 (Thèse Sc. math.). | JFM

[3] Bourbaki (N.). - Intégration. Chap. 1-8. - Paris, Hermann, 1956-1965 (Act. scient. et ind., 1175, 1244, 1306 ; Bourbaki, 13, 21, 29).

[4] Bourgain (J.). - Decompositions in the product of a measure space and a polish space (submitted to Fundamenta Mathematicae). | Zbl

[5] Bourgain (J.), Fremlin (D.H.) and Talagrand (M.). - Pointwise compact sets of Baire measurable functions (submitted to Amer. J. Math.). | MR | Zbl

[6] Christensen (J.P.R.). - Topology and Borel structure. - Amsterdam, North-Holland Publishing Company, 1974 (North-Holland Mathematics Studies, 10 ; Notas de Matematica, 51). | MR | Zbl

[7] Čoban (M.M.). - On B-measurable sections, Soviet Math. Dokl., t. 13, 1972, p. 1473-1477. | MR | Zbl

[8] Dellacherie (C.). - Capacités et processus stochastiques. - Berlin, Springer-Verlag, 1972 (Ergebnisse der Mathematik, 67). | MR | Zbl

[9] Dellacherie (C.). - Ensembles analytiques, capacités, mesures de Hausdorff. - Berlin, Springer-Verlag, 1972 (Lecture Notes in mathematics, 295). | MR | Zbl

[10] Dellacherie (C.). - Ensembles analytiques : Théorèmes de separation et applications. - Berlin, Heidelberg, New York, Springer-Verlag, 1975 (Lecture Notes in Mathematics, 465). | Numdam | MR | Zbl

[11] Dellacherie (C.). - Une démonstration du théorème de Souslin-Lusin, "Séminaire de probabilités de l'Université de Strasbourg, VII, Année 1971/72", p. 48-50. - Berlin, Springer-Verlag, 1973 (Lecture Notes in Mathematics, 321). | EuDML | Numdam | MR | Zbl

[12] Effros (E.G.). - Convergence of closed subsets in a topological space, Proc. amer. Math. Soc., t. 16, 1965, p. 929-931. | MR | Zbl

[13] Halmos (P.R.). - Measure theory. - Toronto, D. Van Nostrand Company, 1950 (The University Series in higher Mathematics). | MR | Zbl

[14] Hausdorff (F.). - Set theory. - New York, Chelsea Publishing Company, 1962. | MR | Zbl

[15] Hoffmann-Jørgensen (J.). - The theory of analytic spaces. - Aarhus, Aarhus Universitet, Mathematik Inst., 1970 (Various Publication Series, 10). | MR | Zbl

[16] Hurewicz (W.). - Relativ perfekte Teile von Punktmengen und Mengen (A), Fund. Math., Warszawa, t. 12, 1928, p. 78-109. | EuDML | JFM

[17] Jech (T.J.). - Lectures in set theory with particular emphasis on the method of forcing. - Berlin, Springer-Verlag, 1971 (Lecture Notes in Mathematics, 217). | MR | Zbl

[18] Kondô (M.). - Sur l'uniformisation des complémentaires d'analytiques et les ensembles projectifs de la seconde classe, Japan. J. Math., t. 15, 1938, p. 197-230. | JFM

[19] Kunugui (K.). - Contribution à la théorie des ensembles boréliens et analytiques, III, J. Fac. Sc. Hokkaido Univ. Serie 1, t. 8, 1939-1940, p. 79-108. | MR | Zbl

[20] Kuratowski (C.). - Topologie, vol. 1 and 2, 4th edition. - PWN, Polish scientific Publishers, 1958-1961 (Monografie Matematyczne, 20, 21). | Zbl

[21] Louveau (Alain). - La hiérarchie borélienne des ensembles Δ11, C. R. Acad. Sc. Paris, t. 285, 1977, Série A, p. 601-604. | Zbl

[22] Martin (D.A.) and Solovay (R.M.). - Internal Cohen extensions, Ann. of math. logic, t. 2, 1970, p. 143-178. | MR | Zbl

[23] Meyer (P.-A.). - Probabilités et potentiels. - Paris, Hermann, 1966 (Act. scient. et ind., 1318 ; Publ. Inst. Math. Univ. Strasbourg, 14). | MR | Zbl

[24] Novikov (P.). - The separation of CA sets, Izv. Akad. Nauk SSSR, Serija Mat., t. 1, 1937, p. 253-264.

[25] Novikov (P.). - Generalization of the second separation theorem, Doklady Akad. Nauk SSSR, t. 4, 1934, p. 8-11. | Zbl

[26] Purves (R.). - Bimeasurable functions, Fund. Math., Warszawa, t. 58, 1966, p. 149-157. | EuDML | MR | Zbl

[27] Rogers (C.A.). - Lusin's second theorem of separation, J. London, math. Soc., 2nd Serie, t. 6, 1973, p. 491-503. | MR | Zbl

[28] Schwartz (L.). - Radon measures on Souslin spaces, "Symposium on analysis [1967, Kingston]", p. 157-168. - Kingston, Queen's University, 1967 (Queen's Papers in pure and applied Mathematics, 10). | Zbl

[29] Sierpinski (W.). - Les ensembles projectifs et analytiques. - Paris, Gauthier-Villars, 1950 (Mémorial des Sciences mathématiques, 112). | EuDML | Numdam | MR | Zbl

[30] Sierpinski (W.). - Sur une suite infinie de fonctions de classe 1 dont toute fonction d'accumulation est non mesurable, Fund. Math., Warszawa, t. 33, 1945, p. 104-105. | EuDML | MR | Zbl

[31] Sierpinski (W.). - Oeuvres choisies, Vol. 2 et 3. - Warszawa, PWN Polish scientific publishers, 1975-1976. | MR

[32] Solovay (R.M.) and Tennenbaum (S.). - Iterated Cohen extensions and Souslin's problem, Ann. of Math., 2nd serie, t. 94, 1971, p. 201-245. | MR | Zbl