Volume no :20, Issue no: 1, March

ON SOME NEW MAPS ON TOPOLOGICAL SPACES

Author's: MOHAMMED NOKHAS MURAD KAKI
Pages: [45] - [60]
Received Date: December 3, 2012; Revised February 28, 2013
Submitted by:

Abstract

In the present paper, we define and introduce a new type of topological transitive map called transitive and investigate some of its properties in denotes the of a given topological space Relationships with some other type of transitive maps are given. We list some relevant properties of the transitive map. Further, we introduce the notions of mapping. We have proved that every topologically transitive map is a transitive map, but the converse not necessarily true, and that every map is a minimal map, but the converse not necessarily true.

Keywords

topologically transitive, systems, maps.