TY - Type of reference TI - Attracteurs et chaîne de récurrence pour le semi-groupe des fonctions continues AU - Kushal Lalwani AB - 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. DO - 10.21494/ISTE.OP.2022.0812 JF - Avancées en Mathématiques Pures et Appliquées KW - attractor, chain recurrent set, omega limit set, transitivity, attractor, chain recurrent set, omega limit set, transitivity, L1 - https://www.openscience.fr/IMG/pdf/iste_apam22v13n2_4.pdf LA - fr PB - ISTE OpenScience DA - 2022/03/14 SN - 1869-6090 TT - Attractors and chain recurrence for semigroup of continuous maps UR - https://www.openscience.fr/Attracteurs-et-chaine-de-recurrence-pour-le-semi-groupe-des-fonctions-continues IS - Numéro 2 (Mars 2022) VL - 13 ER -