On one class of extreme extensions of a measure

• Date: 2010
• Main Authors: Tarashchans'kii, M. T., Таращанский, М. Т.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2953
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a relationship between two sets of extensions of a finite finitely additive measure $μ$ defined on an algebra $\mathfrak{B}$ of sets to a broader algebra $\mathfrak{A}$. These sets are the set $\text{ex} S_{μ}$ of all extreme extensions of the measure $μ$ and the set $H_{μ}$ of all ext...