ARRANGEMENT OF ELEMENTS OF LOCALLY FINITE TOPOLOGICAL SPACES UP TO AN ALF-HOMEOMORPHISM

• Journal title : Honam Mathematical Journal
• Volume 33, Issue 4,  2011, pp.617-628
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2011.33.4.617
Title & Authors
ARRANGEMENT OF ELEMENTS OF LOCALLY FINITE TOPOLOGICAL SPACES UP TO AN ALF-HOMEOMORPHISM
Han, Sang-Eon; Chun, Woo-Jik;

Abstract
In relation to the classification of finite topological spaces the paper [17] studied various properties of finite topological spaces. Indeed, the study of future internet system can be very related to that of locally finite topological spaces with some order structures such as preorder, partial order, pretopology, Alexandroff topological structure and so forth. The paper generalizes the results from [17] so that the paper can enlarge topological and homotopic properties suggested in the category of finite topological spaces into those in the category of locally finite topological spaces including ALF spaces.
Keywords
Locally finite topological space;ALF space;homeomorphism;digital topology;Khalimsky topology;network;
Language
English
Cited by
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