On Mixing Properties in Topological Dynamics


  • Alaa Hussein Majeed Al-Qurashey University of Kufa
  • Salim Hassan Al-Kutubi University of Kufa




group, dynamical


    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


        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.



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- 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) .




How to Cite

Al-Qurashey, A. H. M., & Al-Kutubi, S. H. (2011). On Mixing Properties in Topological Dynamics. Journal of Kufa for Mathematics and Computer, 1(4), 14–26. https://doi.org/10.31642/JoKMC/2018/010403

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