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http://dx.doi.org/10.5831/HMJ.2011.33.4.617

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

Han, Sang-Eon (Faculty of Liberal Education, Institute of Pure and Applied Mathematics, Chonbuk National University)
Chun, Woo-Jik (Future Internet Architecture Research Team, Internet Service Research Department, Internet Research Laboratory, ETRI)
Publication Information
Honam Mathematical Journal / v.33, no.4, 2011 , pp. 617-628 More about this Journal
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;
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Times Cited By KSCI : 3  (Citation Analysis)
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