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https://doi.org/10.1090/S0002-9939-1969-0247028-5

has been cited by the following article:

• TITLE: Compact-Open and Point Wise Convergence Topologies

  AUTHORS: Mohammed Nokhas Murad Kaki

  KEYWORDS: Compact-Open Topology, Transitive Set, Chaotic Sets, Point Wise Convergence Mixing

  JOURNAL NAME: Open Access Library Journal, Vol.5 No.8, August 14, 2018

  ABSTRACT: In this paper, we have investigated and introduced some new definitions of transitivity on the set of all continuous maps, denoted by , called the point-wise convergence transitive, the compact-open transitive and point wise convergence topological transitive sets. Relationship between these new defini-tions is studied. Finally, we have introduced a number of very important topo-logical concepts and shown that every compact-open convergence transitive map implies point wise transitive maps but the converse not necessarily true.