• Title/Summary/Keyword: minimal simple ${\kappa}$-curve

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MINIMAL DIGITAL PSEUDOTORUS WITH κ-ADJACENCY, κ ∊ {6, 18, 26}

  • HAN, SANG-EON
    • Honam Mathematical Journal
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    • v.26 no.2
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    • pp.237-246
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    • 2004
  • 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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