Abstract
AbstractThe main purpose of this paper is to develop a point-free notion of topological transitivity. First, we define transitive frame maps and transitive completely prime filters inFrm, the category of frames and frame maps. Then we discuss the relationship between these notions inFrmand the notions of topological transitive and transitive points inTop. Finally, we investigate the relationship between transitive frame maps and the existence of transitive completely prime filters.
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