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COMPARISON AMONG SEVERAL ADJACENCY PROPERTIES FOR A DIGITAL PRODUCT
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  • Journal title : Honam Mathematical Journal
  • Volume 37, Issue 1,  2015, pp.135-147
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2015.37.1.135
 Title & Authors
COMPARISON AMONG SEVERAL ADJACENCY PROPERTIES FOR A DIGITAL PRODUCT
Han, Sang-Eon;
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 Abstract
Owing to the notion of a normal adjacency for a digital product in [8], the study of product properties of digital topological properties has been substantially done. To explain a normal adjacency of a digital product more efficiently, the recent paper [22] proposed an S-compatible adjacency of a digital product. Using an S-compatible adjacency of a digital product, we also study product properties of digital topological properties, which improves the presentations of a normal adjacency of a digital product in [8]. Besides, the paper [16] studied the product property of two digital covering maps in terms of the - and the -property of a digital product which plays an important role in studying digital covering and digital homotopy theory. Further, by using HS- and HC-properties of digital products, the paper [18] studied multiplicative properties of a digital fundamental group. The present paper compares among several kinds of adjacency relations for digital products and proposes their own merits and further, deals with the problem: consider a Cartesian product of two simple closed -curves with elements in , denoted by . Since a normal adjacency for this product and the -property are different from each other, the present paper address the problem: for the digital product does it have both a normal k-adjacency of and another adjacency satisfying the -property? This research plays an important role in studying product properties of digital topological properties.
 Keywords
digital topology;digital covering space;digital isomorphism;digital product;Cartesian adjacency;normal adjacency;S-compatible;digital topology;digital product;-;-property;
 Language
English
 Cited by
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