Classification of topologies on finite sets using graphs

  • N. P. Adamenko
  • I. G. Velichko Запорож. нац. ун-т

Abstract

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 elements that does not exceed the cardinality of the set itself.
Published
25.07.2008
How to Cite
AdamenkoN. P., and VelichkoI. G. “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.
Section
Short communications