On the number of finite topological spaces
<span style="font-family: DejaVu Sans,sans-serif;">In this paper we deal with the problem of enumerating the finite topological spaces, studying the enumeration of a restrictive class of them. By employing simple techniques, we obtain a recursive lower bound for the number of topolog...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
1993-05-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/543 |
| Summary: | <span style="font-family: DejaVu Sans,sans-serif;">In this paper we deal with the problem of enumerating the finite topological spaces, studying the enumeration of a restrictive class of them. By employing simple techniques, we obtain a recursive lower bound for the number of topological spaces on a set of <em>n </em>elements. Besides we prove some collateral results, among which we can bring a new proof (Cor. 1.5) of the fact that <em>p(n)</em> – the number of partitions of the integer <em>n</em> – is the number of non-isomorphic Boolean algebras on a set of <em>n</em> elements.</span> |
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| ISSN: | 0373-3505 2037-5298 |