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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| Datum: | 2008 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2008
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3215 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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. |
|---|