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