On Mixing Properties in Topological Dynamics
DOI:
https://doi.org/10.31642/JoKMC/2018/010403Keywords:
group, dynamicalAbstract
   Mixing property was classified in the first book of topological dynamics written by Gottschalk & Hedlund ,[4],
( 1955 ) as one of the regionally transitive properties . It is concerned with the existence of a compact subset  of the phase group   of a topological transformation group  such that for every  non empty open subsets of ,there exists a compact subset  of    such that, for every
Â
       In this work we introduced new different types of mixing ,and  studied there relations with other transitive properties. Moreover  we studied some relations between them and recursion dynamical properties such as periodicity , almost periodicity and recurrence. we gave conditions to transfer some types of mixing under suitable homomorphism.
Â
Downloads
References
- Alkutaibi , S.H. , "Transferent And Referent Properties In Topological Dynamics " , ph. D. Thesis , south ampton (1971) .
- Ellis, R, C. , "Dynamical Relations
Between Orbit Closures " , M. Sc.
Dissertantion , Wesleyan University
Middeltown , Connecticut, USA, (1967) .
- Ellis, R, "Lectures Of Topological
Dynamics", W.A. Bentamin , Inc New York
, Math ,2421(1969) .
- Gottschalk, W.H. and Hedlund, G.A.,
"Topological Dynamics" , Amer, Math,
Soci(1955) .
- Gottschalk, "Dynamical Aspects Of
Orbit Closures An Infernational"
Symposium Fort Collins (1967) .
- Husain, T, "Introduction To
Topological groups" , W.B. Saunders
Company Philadelphia And London (1966) .
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2014 Alaa Hussein Majeed Al-Qurashey, Salim Hassan Al-Kutubi
This work is licensed under a Creative Commons Attribution 4.0 International License.
which allows users to copy, create extracts, abstracts, and new works from the Article, alter and revise the Article, and make commercial use of the Article (including reuse and/or resale of the Article by commercial entities), provided the user gives appropriate credit (with a link to the formal publication through the relevant DOI), provides a link to the license, indicates if changes were made and the licensor is not represented as endorsing the use made of the work.
