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On Some Disjointness Classes of Extensions of Minimal Topological Transformation Semigroups

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Ukrainian Mathematical Journal Aims and scope

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We study disjointness classes of extensions of minimal topological transformation semigroups.

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REFERENCES

  1. H. Furstenberg, “Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation,” Math. Syst. Theory, 1, 1–50 (1967).

    Google Scholar 

  2. L. Shapiro, “Distal and proximal extensions of minimal flows,” Math. Syst. Theory, 5, No.1, 6–88 (1971).

    Google Scholar 

  3. I. U. Bronshtein, Extensions of Minimal Groups of Transformations [in Russian], Shtiintsa, Kishinev (1975).

    Google Scholar 

  4. J. C. S. P. van der Woude, Topological Dynamics, Math. Centrum, Amsterdam (1982).

    Google Scholar 

  5. R. Ellis, S. Glasner, and L. Shapiro, “Proximal–isometric (PI )flows,” Adv. Math, 17, No.3, 213–260 (1975).

    Google Scholar 

  6. A. I. Gerko, “τ(A)-topology and certain properties of groups associated with topological transformation semigroups,” Izv. Akad. Nauk Moldovy, No. 2, 26–31 (1991).

    Google Scholar 

  7. A. I. Gerko, D-Simple ( RD-Simple) Extensions of Minimal Transformation Semigroups [in Russian], Dep. in MoldNIINTI, No. 533 M-85, Kishinev (1985).

  8. A. I. Gerko, Introduction to the Disjointness of Extensions of Minimal Transformation Semigroups [in Russian], Dep. in MoldNIINTI, No. 785 M-87, Kishinev (1987).

  9. A. I. Gerko, “RCI-extensions and the structure of extensions of minimal transformation semigroups,” Mat. Issled. (Kishinev), No. 77, 47–60 (1984).

    Google Scholar 

  10. D. McMahon and T. S. Wu, “Distal homomorphisms of nonmetric flows,” Proc. Amer. Math. Soc., No. 82, 283–287 (1981).

    Google Scholar 

  11. A. I. Gerko, “On the structure of distal extensions of minimal transformation semigroups,” Mat. Issled. (Kishinev), No. 7, 69–86 (1972).

    Google Scholar 

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Gerko, A.I. On Some Disjointness Classes of Extensions of Minimal Topological Transformation Semigroups. Ukrainian Mathematical Journal 52, 1527–1538 (2000). https://doi.org/10.1023/A:1010496900139

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