On equicontinuous factors of linear extensions of minimal dynamical systems

• Date: 1993
• Main Authors: Glavan, V. A., Главан, В. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5803
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The concept of the equicontinuous factor of the linear extension of a minimal transformation group is introduced and investigated. It is shown that a subset of motions, bounded and distal with respect to the extension, forms a maximal equicontinuous subsplitting of the linear extension. As a consequ...