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XIV: 49, 500-546, LNM 784 (1980)

**LENGLART, Érik**

Tribus de Meyer et théorie des processus (General theory of processes, Stochastic calculus)

The subject of this paper is the study of the $\sigma$-field on $**R**_+\times\Omega$ generated by a family of cadlag processes including the deterministic ones, and stable under stopping at non-random times. Of course the optional and previsible $\sigma$-fields are Meyer $\sigma$-fields in this very general sense. It is a matter of wonder to see how far one can go with such simple hypotheses, which were suggested by Dellacherie 705

Comment: This beautiful paper was generally ignored. If a suggestive name had been used instead of the terminology ``Meyer $\sigma$-field'', its fate might have been different. See 1524 for an interesting application. The work of Fourati (partly unpublished) follows along the same lines, but including time reversal: see 2119

Keywords: Projection theorems, Section theorems

Nature: Original

Retrieve article from Numdam

Tribus de Meyer et théorie des processus (General theory of processes, Stochastic calculus)

The subject of this paper is the study of the $\sigma$-field on $

Comment: This beautiful paper was generally ignored. If a suggestive name had been used instead of the terminology ``Meyer $\sigma$-field'', its fate might have been different. See 1524 for an interesting application. The work of Fourati (partly unpublished) follows along the same lines, but including time reversal: see 2119

Keywords: Projection theorems, Section theorems

Nature: Original

Retrieve article from Numdam