TY - JOUR
AU - N. P. Adamenko
AU - I. G. Velichko
PY - 2008/07/25
Y2 - 2023/03/26
TI - Classification of topologies on finite sets using graphs
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 60
IS - 7
SE - Short communications
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3215
AB - 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.
ER -