Resolvability of some special algebras with topologies
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CHIRIAC, Liubomir. Resolvability of some special algebras with topologies. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2008, nr. 2(57), pp. 92-105. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(57) / 2008 / ISSN 1024-7696 /ISSNe 2587-4322

Resolvability of some special algebras with topologies

Pag. 92-105

Chiriac Liubomir
 
Tiraspol State University
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

Let G be an infinite InP-n-groupoid. We construct a disjoint family Bμ : μ ∈ M} of non-empty subsets of G such that the sets {Bμ} are dense in all Choban’s totally bounded topologies on G, |M| = |G|, G = ∪{Bμ : μ ∈ M} and ∪n k=1'!(Kk−1,G \ Bμ,Kn−k) 6= G for all μ ∈ M and every finite subsets K of G. In particular, we continue the line of research from [6, 9].

Cuvinte-cheie
Resolvability, InP-n-groupoid, bounded topology.