New Types of Transitive Functions and Minimal Systems

Murad, Mohammed Nokhas
August 2012
International Journal of Basic & Applied Sciences;Aug2012, Vol. 12 Issue 4, p53
Academic Journal
The purpose of this paper is to give new types of topological b-transitive functions and new types of b-minimal functions. We obtain their characterizations and investigate some of its properties. The main results are the following propositions: 1) Every topologically b-transitive function is a topological transitive function asevery open set is b-open set but the converse not necessarily true. 2) Every b--minimal function is a minimal function as every open set is b- open set, but the converse not necessarily true.


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