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 SM ISO690:2012ARNAUTOV, Vladimir, KOCHINA, A. Method for constructing one-point expansions of a topology on a finite set and its applications. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, nr. 3(64), pp. 67-76. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(64) / 2010 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 67-76 | ||||||
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The article consists of two parts. In the first part we present an algorithm
which allows to receive, for any topology which is given on a set X from n elements, all topologies on the set X S{y} each of which induces the topology on the set X. In the second part (as an example) this algorithm is applied for calculation of the number of topologies on the set Y each of which induces the discrete topology on the set X. |
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| Cuvinte-cheie Finite set, topologies, one-point expansions, lattice isomorphic |
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