Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지

DIGITAL (k0,k1)-COVERING MAP AND ITS PROPERTIES

  • HAN, SANG-EON (Department of Computer and Applied Mathematics, College of Natural Science, Honam University)
  • Received : 2003.08.27
  • Accepted : 2003.11.03
  • Published : 2004.03.25
Download PDF
⟨ Previous Next ⟩

Abstract

The aim of this paper is to introduce a digital $({\kappa}_0,\;{\kappa}_1)$-covering map and a local $({\kappa}_0,\;{\kappa}_1)$-homeomorphism. And further, we show that a digital $({\kappa}_0,\;{\kappa}_1)$-covering map is a local $({\kappa}_0,\;{\kappa}_1)$-homeomorphism and the converse does not hold. Finally, some property of a digital covering map is investigated with relation to some restriction map. Furthermore, we raise an open problem with relation to the product covering map.

Keywords

Acknowledgement

Supported by : Korea Science and Engineering Foundation

References

  1. Jour. of Mathematical Imaging and Vision v.10 A classical construction for the digital fundamental group Boxer, L.
  2. Pattern Recognition Letters v.15 Digitally continuous functions Boxer, L.
  3. Honam Math. Jour. v.25 Computer Topology and Its Applications Han, S.E.
  4. An efficient algorithm for the calculation of the digital fundamental group Han, S.E.
  5. Digital ($K_0,\;K_1$)-coverings and their applications Han, S.E.
  6. Information Sciences Non-product product property of the digital k-fundamental group Han, S.E.
  7. CVGIP: Graphical Models and Image Processing v.55 Oriented surfaces in digital spaces Herman, G.T.
  8. Topology and Its Applications v.46 Concepts of digital topology Kong, T.Y.;Roscoe, A.W.;Rosenfeld, A.
  9. (Digital topology - A brief introduction and bibliography) Topological Algorithms for the Digital Image Processing Kong, T.Y.;Rosenfeld, A.