Topological transitivity of algebraically recurrent sets
Journal
Sarajevo Journal of Mathematics
Date Issued
2024
Author(s)
Shoptrajanov, Martin
DOI
10.5644/SJM.20.02.12
Abstract
In this paper we will discuss the connection between topological transitivity and recurrence of G-flows acting on a compact metric space X. We will prove that the T T -property of the set of all algebraically recurrent points AR(ϕ) implies chain recurrent properties of the whole space and hence improve some of the results from [6].
Subjects