Classification of topologies on finite sets using graphs
AbstractWith 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 elements that does not exceed the cardinality of the set itself.
How to Cite
Adamenko, N. P., and I. G. Velichko. “Classification of Topologies on Finite Sets Using Graphs”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 7, July 2008, pp. 992–996, https://umj.imath.kiev.ua/index.php/umj/article/view/3215.