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http://dx.doi.org/10.4134/BKMS.2010.47.5.915

EXTENSION PROBLEM OF SEVERAL CONTINUITIES IN COMPUTER TOPOLOGY  

Han, Sang-Eon (FACULTY OF LIBERAL EDUCATION INSTITUTE OF PURE AND APPLIED MATHEMATICS CHONBUK NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.47, no.5, 2010 , pp. 915-932 More about this Journal
Abstract
The goal of this paper is to study extension problems of several continuities in computer topology. To be specific, for a set $X\;{\subset}\;Z^n$ take a subspace (X, $T_n^X$) induced from the Khalimsky nD space ($Z^n$, $T^n$). Considering (X, $T_n^X$) with one of the k-adjacency relations of $Z^n$, we call it a computer topological space (or a space if not confused) denoted by $X_{n,k}$. In addition, we introduce several kinds of k-retracts of $X_{n,k}$, investigate their properties related to several continuities and homeomorphisms in computer topology and study extension problems of these continuities in relation with these k-retracts.
Keywords
computer topology; digital topology; extension problem; Khalimsky topology; computer topological continuity; computer topological homeomorphism; k-retract;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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