两类N参数σ－域族的刻划

The Characterization of Two Kinds of N-parameter σ-filtrations

证明了Ｎ参数右连续强增加σ－域族的（ＯＲＴ）性质等价于（ＳＴＲ）性质，对于具有（ＰＩＶ）性质的离散Ｎ参数σ－增域族，必存在单参数σ－增域族和关于它的停时族（Ｔ＿ｚ）ｚ∈Ｎ￣Ｎ。

Proves that the (ORT) property of N-parameter right continuous strong increasingσ-filtrations is equivalent to the (STR) property.As for the discrete N-parameter σ-filtrations,there existed a one parameter σ-filtrations Nand a family of stopping times (TZ)Z∈NN with respect to it,such that Z=TZ,Z∈NN.