Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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MINIMAL DIGITAL PSEUDOTORUS WITH κ-ADJACENCY, κ ∊ {6, 18, 26}

  • HAN, SANG-EON (Department of Computer and Applied Mathematics, College of Natural Science, Honam University)
  • Received : 2004.01.26
  • Published : 2004.06.25
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Abstract

In this paper, three kinds of minimal digital pseudotori $DT_6$, $DT^{\prime}_{18}$, $DT^{{\prime}{\prime}}_{26}$, which are derived from the minimal simple 4- and 8-curves, $MSC_4$ and $MSC^{\prime}_8$, are shown and are proved not to be digitally ${\kappa}$-homotopy equivalent to each other, where ${\kappa}{\in}\{6,\;18,\;26\}$. Furthermore, the digital topological properties of the minimal digital ${\kappa}$-pseudotori are investigated in the digital homotopical point of view, where ${\kappa}{\in}\{6,\;18,\;26\}$.

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References

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