Attractors and chain recurrence in generalized semigroup
Abstract
In 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 mh following Conleys characterization in conley. We shall also discuss the notion of topological transitivity and chain transitivity in this general setting.
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