Titre : Attractors and chain recurrence for semigroup of continuous maps 

Auteurs : Kushal Lalwani,  

Revue : Advances in Pure and Applied Mathematics 

Numéro : Issue 2 (March 2022) 

Volume : 13 

Date : 2022/03/14 

DOI : 10.21494/ISTE.OP.2022.0812 

ISSN : 1869-6090 

Résumé : In [12], we extended various notions of recurrence for the action of a semigroup analogous to their counterpart in the classical theory of dynamics. In this paper, we shall address the alternative de-nition of chain recurrent set in terms of attractors, given by Hurley in [10] following Conley’s characterization in [5]. We shall also discuss the notion of topological transitivity and chain transitivity in this general setting. 

Éditeur : ISTE OpenScience