Compact-Open and Point Wise Convergence Topologies ()
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.
Share and Cite:
Kaki, M. (2018) Compact-Open and Point Wise Convergence Topologies.
Open Access Library Journal,
5, 1-5. doi:
10.4236/oalib.1104775.
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