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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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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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