%0 Journal Article
%T Compact-Open and Point Wise Convergence Topologies
%A Mohammed Nokhas Murad Kaki
%J Open Access Library Journal
%V 5
%N 8
%P 1-5
%@ 2333-9721
%D 2018
%I Open Access Library
%R 10.4236/oalib.1104775
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">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.</span>
</div>
%K Compact-Open Topology
%K Transitive Set
%K Chaotic Sets
%K Point Wise Convergence Mixing
%U http://www.oalib.com/paper/5298394