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| Ultima descărcare din IBN: 2017-01-02 16:30 |
 SM ISO690:2012ARNAUTOV, Vladimir. Method of construction of topologies on any finite set. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, nr. 2(69), pp. 29-42. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 2(69) / 2012 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 29-42 | ||||||
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Let a topology be defined on a finite set. We give the definition of quasiatoms in the lattice ( ,⊆) and study their properties. For any splitting of a finite set X into k subsets we give a method of constructing any topology on the set X for which this splitting is the set of all quasiatoms and the weight of this topological space is equal to k. |
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| Cuvinte-cheie Finite set, topologies, lattice of all open sets, quasi- atoms., atoms |
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<meta name="citation_title" content="Method of construction of topologies on any finite set"> <meta name="citation_author" content="Arnautov Vladimir"> <meta name="citation_publication_date" content="2012/07/02"> <meta name="citation_journal_title" content="Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica"> <meta name="citation_volume" content="69"> <meta name="citation_issue" content="2"> <meta name="citation_firstpage" content="29"> <meta name="citation_lastpage" content="42"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/Method%20of%20construction%20of%20topologies%20on%20any%20finite%20set.pdf">
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