2019/09/30 by Kushal Lalwani, Lalwani, Kushal
Computer Science · Mathematics · #37B20 #37B25 #54H15 #54H20 #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1910.00426
openalex publication_date 2019/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In \cite kl1, we extended various notions of recurrence for the generalized semigroup analogous to their counterpart in the classical theory of dynamics. In this paper, we shall address the alternative definition of chain recurrent set in terms of attractors, given by Hurley in \cite mh following Conley\rqs characterization in \cite conley. We shall also discuss the notion of topological transitivity and chain transitivity in this general setting.