III: 06, 115-136, LNM 88 (1969)
DELLACHERIE, Claude
Ensembles aléatoires II (Descriptive set theory, Markov processes)
Among the many proofs that an uncountable Borel set of the line contains a perfect set, a proof of Sierpinski (Fund. Math., 5, 1924) can be extended to an abstract set-up to show that a non-semi-polar Borel set contains a non-semi-polar compact set
Comment: See Dellacherie, Capacités et Processus Stochastiques, Springer 1972. More recent proofs no longer depend on ``rabotages'': Dellacherie-Meyer, Probabilités et potentiel, Appendix to Chapter IV
Keywords: Sierpinski's ``rabotages'', Semi-polar sets
Nature: Original
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V: 09, 86-86, LNM 191 (1971)
DELLACHERIE, Claude
Correction à ``Ensembles Aléatoires II'' (Descriptive set theory)
Correction to Dellacherie 306
Comment: See Dellacherie 511
Keywords: Sierpinski's ``rabotages''
Nature: Original
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V: 11, 103-126, LNM 191 (1971)
DELLACHERIE, Claude
Ensembles pavés et rabotages (Descriptive set theory)
A systematic study of the ``rabotages de Sierpinski'', used in Dellacherie 306 to solve several problems in probabilistic potential theory. The main paper on this subject
Comment: See Dellacherie, Capacités et Processus Stochastiques, 1970. Author should be consulted on recent developments (see 1526)
Keywords: Analytic sets, Capacities, Sierpinski's ``rabotages''
Nature: Original
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XV: 26, 351-370, LNM 850 (1981)
DELLACHERIE, Claude
Mesurabilité des débuts et théorème de section~: le lot à la portée de toutes les bourses (General theory of processes)
One of the main topics in these seminars has been the application to stochastic processes of results from descriptive set theory and capacity theory, at different levels. Since these results are considered difficult, many attempts have been made to shorten and simplify the exposition. A noteworthy one was 511, in which Dellacherie introduced ``rabotages'' (306) to develop the theory without analytic sets; see also 1246, 1255. The main feature of this paper is a new interpretation of rabotages as a two-persons game, ascribed to Telgarsky though no reference is given, leading to a pleasant exposition of the whole theory and its main applications
Keywords: Section theorems, Capacities, Sierpinski's ``rabotages''
Nature: Original
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