Conceptions of Transitive Maps in Topological Spaces

M. Nokhas Murad Kaki; Solaf Ali Hussain

The concepts of topological γ-type transitive maps, α-transitive maps, γ-minimal and α-minimal mappings were introduced by Mohammed Nokhas Murad. . In this paper, the relationship between two different notions of transitive maps, namely topological γ-type transitive maps and topological α-type transitive maps has been studied and some of their properties in two topological spaces (X, τγ) and (X, τα), τγ denotes the γ –topology(resp. τα denotes the α–topology) of a given topological space (X, τ ) has been investigated.. Also, we have proved that there exists γ- dense orbit in X, where X is locally γ- compact Hausdorff space and τγ has a countable basis Also, I study the relationship between two types of minimal mappings, namely, γ-minimal mapping and α-minimal mapping, and I will prove that the properties of γ-type transitive, γ-mixing and γ-minimal maps are preserved under γr-conjugacy.

Select Volume / Issues:

• Volume 5 Issue 1, Jan. 2014

Year:

2014

Type of Publication:

Article

Keywords:

Topologically; Minimal; Irresolute; Type Transitive; Dense

Journal:

IJECCE

Volume:

5

Number:

1

Pages:

63-67

Month:

January