Continuum hypothesis; Ideal (v0); Ideal isomorphism; Ideal type
Open Mathematics, vol. 13, iss. 1 (2015), s. 421-425
The ideal (v0) is known in the literature and is naturally linked to the structure [ω]ω. We consider some natural counterpart of the ideal (v0) 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 (v0).