III: 04, 93-96, LNM 88 (1969)
DELLACHERIE, Claude
Une application aux fonctionnelles additives d'un théorème de Mokobodzki (Markov processes)
Mokobodzki showed the existence of ``rapid ultrafilters'' on the integers, with the property that applied to a sequence that converges in probability they converge a.s. (see for instance Dellacherie-Meyer, Probabilité et potentiels, Chap. II, 27). They are used here to prove that every continuous additive functional of a Markov process has a ``perfect'' version
Comment: See also 203. The whole subject of perfect additive functionals has been closed by Walsh's approach using the essential topology, see 623
Keywords: Additive functionals, Perfection
Nature: Original
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