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http://hdl.handle.net/20.500.12188/32700| Title: | Topological transitivity of algebraically recurrent sets | Authors: | Shoptrajanov, Martin | Keywords: | trajectory, algebraic recurrence, group, topological group, topological transitivity, non-wandering set, chain recurrent set. | Issue Date: | 2024 | Publisher: | Academy of Sciences and Arts of Bosnia and Herzegovina | Project: | Mathematical Models and Applications, Grant number NIP.UKIM.20-21.6 | Journal: | Sarajevo Journal of Mathematics | 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]. | URI: | http://hdl.handle.net/20.500.12188/32700 | DOI: | 10.5644/SJM.20.02.12 |
| Appears in Collections: | Faculty of Natural Sciences and Mathematics, Institute of Mathematics: Journal Articles |
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