Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지
DOI QR코드

DOI QR Code

THE EQUIVALENT CONDITIONS FOR THE HOMOMORPHISM OF MINIMAL SETS TO BE REGULAR

  • Song, H.S. (Department of Mathematics Kwangwoon University)
  • Received : 2011.05.11
  • Accepted : 2011.06.13
  • Published : 2011.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper we study some properties on regular homomorphisms. In particular, we investigate the equivalent conditions for the homomorphism of minimal sets to be regular.

Keywords

References

  1. J. Auslander,Regular minimal sets 1, Trans. Amer. Math. Soc. 123 (1966), 469- 479. https://doi.org/10.1090/S0002-9947-1966-0193629-4
  2. J. Auslander, Homomorphisms of minimal transformation group, Topology 9 (1970), 195-203. https://doi.org/10.1016/0040-9383(70)90041-8
  3. R. Ellis, Lectures on topological dynamics, Benjamin, New York, 1969.
  4. S. Glasner, proximal flows, Springer-Verlag, New York, 1975.
  5. P. S. Shoenfeld, Regular homomorphisms of minimal sets, Doctoral Dissertation, Univ. of Maryland (1974).
  6. M. H. Woo, Regular transformation groups, J. Korean Math. Soc. 15 (1979), 129-137.
  7. J. O. Yu, Generalized regular homomorphism, J. Chungcheong Math. Soc. 12 (1999), 103-111.