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III: 05, 97-114, LNM 88 (1969)

**DELLACHERIE, Claude**

Ensembles aléatoires I (Descriptive set theory, Markov processes, General theory of processes)

A deep theorem of Lusin asserts that a Borel set with countable sections is a countable union of Borel graphs. It is applied here in the general theory of processes to show that an optional set with countable sections is a countable union of graphs of stopping times, and in the theory of Markov processes, that a Borel set which is a.s. hit by the process at countably many times must be semi-polar

Comment: See Dellacherie,*Capacités et Processus Stochastiques,* Springer 1972

Keywords: Sets with countable sections

Nature: Original

Retrieve article from Numdam

Ensembles aléatoires I (Descriptive set theory, Markov processes, General theory of processes)

A deep theorem of Lusin asserts that a Borel set with countable sections is a countable union of Borel graphs. It is applied here in the general theory of processes to show that an optional set with countable sections is a countable union of graphs of stopping times, and in the theory of Markov processes, that a Borel set which is a.s. hit by the process at countably many times must be semi-polar

Comment: See Dellacherie,

Keywords: Sets with countable sections

Nature: Original

Retrieve article from Numdam