IMI/Publicaţii/BASM/Ediţii/BASM n.3 (37), 2001/

Decompozitionnof some algebras with topologies and their Resolvability.

Authors: Choban M., Kiriyak L.


Let G be an infinite group of cardinality τ. We construct a disjoint family {Bμ: μ∈M} of subsets G of such that the sets Bμ are dense in all totally bounded topologies on G, |M|=τ and (G\Bμ)·K≠G for every μ∈M and every finite subset K of G. This fact is a generalization of one Protasov’s result [8].