Topological Transitivity of Algebraically Recurrent Sets
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 \( AR(\varphi) \) implies chain recurrent properties of...
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| Published in | Sarajevo journal of mathematics Vol. 20; no. 2; pp. 309 - 319 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
14.04.2025
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| Online Access | Get full text |
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| Summary: | 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 \( AR(\varphi) \) implies chain recurrent properties of the whole space and hence improve some of the results from [6]. |
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| ISSN: | 1840-0655 2233-1964 |
| DOI: | 10.5644/SJM.20.02.12 |