DOI QR코드

DOI QR Code

QUASI-ELLIS GROUPS AND SOME SUBGROUPS OF THE AUTOMORPHISM GROUP

  • Received : 2014.06.13
  • Accepted : 2014.09.16
  • Published : 2014.09.30

Abstract

In this paper we give some relationships between quasi-Ellis groups and some subgroups of the automorphism group. In particular, we investigate several characterizations on some subgroups of the automorphism group.

Keywords

References

  1. J. Auslander, Homomorphisms of minimal transformation group, Topology 9 (1970), 195-203. https://doi.org/10.1016/0040-9383(70)90041-8
  2. J. Auslander, Minimal flows and their extensions, Elsevier Science Publishers B.V., 1988.
  3. R. Ellis, Lectures on topological dynamics, Benjamin, New York, 1969.
  4. S. Glasner, Compressibility properties in topological dynamics, Amer. J. Math. 97 (1975), 148-171. https://doi.org/10.2307/2373665
  5. S. Glasner, Proximal flows, Springer-Verlag, New York, 1975.
  6. P. S. Shoenfeld, Regular homomorphisms of minimal sets, Doctoral Dissertation, Univ. of Maryland (1974).
  7. H. S. Song, A homomorphism of pointed minimal sets and quasi-Ellis groups, Korean J. Math. 21 (2013), 103-111. https://doi.org/10.11568/kjm.2013.21.2.181
  8. J. O. Yu, Regular relation with respect to a homomorphism, J. Chungcheong Math. Soc.11 (1998), 59-71.