Characterization of residual σ-algebras

• Date: 1992
• Main Authors: Shor , A. A., Shor , A. E., Шор , А. А., Шор , А. Э.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8052
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The behavior of residual σ-algebras is studied. For a probability space $(Ω, \mathfrak{F}, P)$ a new topology is introduced on the set $\mathfrak{F}$  of all σ-subalgebras. Necessary and sufficient conditions for the independence of events from the final σ-algebra are obtained in terms...