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http://dx.doi.org/10.4134/JKMS.2008.45.4.923

CONTINUITIES AND HOMEOMORPHISMS IN COMPUTER TOPOLOGY AND THEIR APPLICATIONS  

Han, Sang-Eon (College of Environmental Science and Engineering Honam University)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.4, 2008 , pp. 923-952 More about this Journal
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 $({\mathbb{Z}}^n,\;T^n)$. Precisely, the notions of K-$(k_0,\;k_1)$-,$(k_0,\;k_1)$-,KD-$(k_0,\;k_1)$-continuities, and Khalimsky continuity as well as those of K-$(k_0,\;k_1)$-, $(k_0,\;k_1)$-, KD-$(k_0,\;k_1)$-homeomorphisms, and Khalimsky homeomorphism are studied and further, their applications are investigated.
Keywords
computer topology; Khalimsky continuity; K-$(k_0,\; k_1)$-continuity; KD-$(k_0,\; k_1)$-continuity$(k_0,\; k_1)$-continuity; digital $(k_0,\; k_1)$-continuity; K-$(k_0,\; k_1)$-homeomorphism; KD-$(k_0,\; k_1)$-homeomorphism$(k_0,\; k_1)$-homeomorphism; Khalimsky line; Khalimsky n-space;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 9  (Related Records In Web of Science)
Times Cited By SCOPUS : 8
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