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Topological Transitivity of Algebraically Recurrent Sets

Year: 2025
Type: article
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 \( AR(\varphi) \) implies chain recurrent properties of the whole space and hence improve some of the results from [6].
Language: English
Open Access status: diamond
OpenAlex ID: W4409439260
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