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VIII: 04, 22-24, LNM 381 (1974)

**DELLACHERIE, Claude**

Un ensemble progressivement mesurable... (General theory of processes)

The set of starting times of Brownian excursions from $0$ is a well-known example of a progressive set which does not contain any graph of stopping time. Here it is shown that considering the same set for the excursions from any $a$ and taking the union of all $a$, the corresponding set has the same property and has uncountable sections

Comment: Other such examples are known, such as the set of times at which the law of the iterated logarithm fails

Keywords: Progressive sets, Section theorems

Nature: Original

Retrieve article from Numdam

Un ensemble progressivement mesurable... (General theory of processes)

The set of starting times of Brownian excursions from $0$ is a well-known example of a progressive set which does not contain any graph of stopping time. Here it is shown that considering the same set for the excursions from any $a$ and taking the union of all $a$, the corresponding set has the same property and has uncountable sections

Comment: Other such examples are known, such as the set of times at which the law of the iterated logarithm fails

Keywords: Progressive sets, Section theorems

Nature: Original

Retrieve article from Numdam