Kushal Lalwani
Published 2019-06-04Version 1
In [arXiv:1904.12333], we introduced the concept of escaping set in general setting for a topological space and extended the notion of limit set and escaping set for the general semigroup generated by continuous self maps. In this paper we continue with extending the other notions of recurrence for the generalized semigroup analogs to their counterpart in the classical theory of dynamics. We discuss the concept of periodic point, nonwandering point and chain recurrent point in the more general setting of a semigroup and establish the correlation between them.
On the Escaping Set in Topological Dynamics
Shadowing, Internal Chain Transitivity and $α$-limit sets
On backward attractors of interval maps
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