On the number of topologies on a finite set
We denote the number of distinct topologies which can be defined on a set \(X\) with \(n\) elements by \(T(n)\). Similarly, \(T_0(n)\) denotes the number of distinct \(T_0\) topologies on the set \(X\). In the present paper, we prove that for any prime \(p\), \(T(p^k)\equiv k+1 \ (mod \ p)\), and th...
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| Datum: | 2019 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2019
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| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/437 |
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| Назва журналу: | Algebra and Discrete Mathematics |