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Classification of topologies on finite sets using graphs

With the use of digraphs, topologies on finite sets are studied. On this basis, a new classification of such topologies is proposed. Some properties of T0-topologies on finite sets are proved. In particular, it is proved that, in T0-topologies, there exist open sets containing arbitrary number of...

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Bibliographic Details
Date:	2008
Main Authors:	Adamenko, N. P., Velichko, I. G., Адаменко, Н. П., Величко, И. Г.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3215
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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