@ARTICLE{10.21494/ISTE.OP.2022.0812, 

TITLE={Attractors and chain recurrence for semigroup of continuous maps}, 
  
AUTHOR={Kushal Lalwani, }, 
	
JOURNAL={Advances in Pure and Applied Mathematics}, 
	
VOLUME={13}, 

NUMBER={Issue 2 (March 2022)}, 
	
YEAR={2022}, 

URL={https://openscience.fr/Attractors-and-chain-recurrence-for-semigroup-of-continuous-maps}, 
	
DOI={10.21494/ISTE.OP.2022.0812}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={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.}}