Transitive Maps on Topological Spaces

• Date: 2013
• Main Authors: Bilokopytov, E., Kolyada, S. F., Білокопитов, Є., Коляда, С. Ф.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2499
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the present paper, we consider the problem of existence of nonequivalent definitions of topological transitivity, which is a classical problem of the topological dynamics. In particular, we use the fact that all available definitions of this kind imply a condition imposed on the dynamical system....