CLASSIFICATION OF SPACES IN TERMS OF BOTH A DIGITIZATION AND A MARCUS WYSE TOPOLOGICAL STRUCTURE

• Journal title : Honam Mathematical Journal
• Volume 33, Issue 4,  2011, pp.575-589
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2011.33.4.575
Title & Authors
CLASSIFICATION OF SPACES IN TERMS OF BOTH A DIGITIZATION AND A MARCUS WYSE TOPOLOGICAL STRUCTURE
Han, Sang-Eon; Chun, Woo-Jik;

Abstract
In order to examine the possibility of some topological structures into the fields of network science, telecommunications related to the future internet and a digitization, the paper studies the Marcus Wyse topological structure. Further, this paper develops the notions of lattice based Marcus Wyse continuity and lattice based Marcus Wyse homeomorphism which can be used for studying spaces $\small{X{\subset}R^2}$ in the Marcus Wyse topological approach. By using these two notions, we can study and classify lattice based simple closed Marcus Wyse curves.
Keywords
Marcus Wyse topology;digitization;Marcus Wyse connectedness;Marcus Wyse continuous map;Marcus Wyse homeomorphism;lattice based Marcus Wyse continuous map;lattice based Marcus Wyse homeomorphism;
Language
English
Cited by
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