## Abstract

The ideal (v^{0}) is known in the literature and is naturally linked to the structure [ω]^{ω}. We consider some
natural counterpart of the ideal (v^{0}) related in an analogous way to the structure Dense(ℚ) and investigate its
combinatorial properties. By the use of the notion of ideal type we prove that under CH this ideal is isomorphic
to (v^{0}).

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