CONTINUITIES AND HOMEOMORPHISMS IN COMPUTER TOPOLOGY AND THEIR APPLICATIONS

Title & Authors
CONTINUITIES AND HOMEOMORPHISMS IN COMPUTER TOPOLOGY AND THEIR APPLICATIONS
Han, Sang-Eon;

Abstract
In this paper several continuities and homeomorphisms in computer topology are studied and their applications are investigated in relation to the classification of subs paces of Khalimsky n-dimensional space $\small{({\mathbb{Z}}^n,\;T^n)}$. Precisely, the notions of K-$\small{(k_0,\;k_1)}$-,$\small{(k_0,\;k_1)}$-,KD-$\small{(k_0,\;k_1)}$-continuities, and Khalimsky continuity as well as those of K-$\small{(k_0,\;k_1)}$-, $\small{(k_0,\;k_1)}$-, KD-$\small{(k_0,\;k_1)}$-homeomorphisms, and Khalimsky homeomorphism are studied and further, their applications are investigated.
Keywords
computer topology;Khalimsky continuity;K-$\small{(k_0,\;k_1)}$-continuity;KD-$\small{(k_0,\;k_1)}$-continuity$\small{(k_0,\;k_1)}$-continuity;digital $\small{(k_0,\;k_1)}$-continuity;K-$\small{(k_0,\;k_1)}$-homeomorphism;KD-$\small{(k_0,\;k_1)}$-homeomorphism$\small{(k_0,\;k_1)}$-homeomorphism;Khalimsky line;Khalimsky n-space;
Language
English
Cited by
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REMARK ON GENERALIZED UNIVERSAL COVERING SPACE IN DIGITAL COVERING THEORY,;

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ON COMPUTER TOPOLOGICAL FUNCTION SPACE,;;

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EXTENSION PROBLEM OF SEVERAL CONTINUITIES IN COMPUTER TOPOLOGY,;

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8.
CLASSIFICATION OF SPACES IN TERMS OF BOTH A DIGITIZATION AND A MARCUS WYSE TOPOLOGICAL STRUCTURE,;;

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9.
CATEGORY WHICH IS SUITABLE FOR STUDYING KHALIMSKY TOPOLOGICAL SPACES WITH DIGITAL CONNECTIVITY,;

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COMPARISON OF CONTINUITIES IN DIGITAL TOPOLOGY,;;

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CATEGORY WHICH IS SUITABLE FOR STUDYING KHALIMSKY TOPOLOGICAL SPACES WITH DIGITAL CONNECTIVITY, Honam Mathematical Journal, 2011, 33, 2, 231
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Extension of continuity of maps between axiomatic locally finite spaces, International Journal of Computer Mathematics, 2011, 88, 14, 2889
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REMARKS ON HOMOTOPIES ASSOCIATED WITH KHALIMSKY TOPOLOGY, Honam Mathematical Journal, 2015, 37, 4, 577
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COMPARISON OF CONTINUITIES IN DIGITAL TOPOLOGY, Honam Mathematical Journal, 2012, 34, 3, 451
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Cartesian Product of the Universal Covering Property, Acta Applicandae Mathematicae, 2009, 108, 2, 363
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REMARK ON GENERALIZED UNIVERSAL COVERING SPACE IN DIGITAL COVERING THEORY, Honam Mathematical Journal, 2009, 31, 3, 267
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Contractibility and fixed point property: the case of Khalimsky topological spaces, Fixed Point Theory and Applications, 2016, 2016, 1
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KD-(k0, k1)-HOMOTOPY EQUIVALENCE AND ITS APPLICATIONS, Journal of the Korean Mathematical Society, 2010, 47, 5, 1031
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