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SM ISO690:2012 ARNAUTOV, 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 | ||||||
Numărul 2(69) / 2012 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 29-42 | ||||||
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Rezumat | ||||||
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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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Arnautov, V.I.</dc:creator> <dc:date>2012-07-02</dc:date> <dc:description xml:lang='en'>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.</dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 69 (2) 29-42</dc:source> <dc:subject>Finite set</dc:subject> <dc:subject>topologies</dc:subject> <dc:subject>lattice of all open sets</dc:subject> <dc:subject>atoms</dc:subject> <dc:subject>quasi- atoms.</dc:subject> <dc:title>Method of construction of topologies on any finite set</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>