Classification of topologies on finite sets using graphs

• Datum: 2008
• Hauptverfasser: Adamenko, N. P., Velichko, I. G., Адаменко, Н. П., Величко, И. Г.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3215
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...