On some ideal related to the ideal (v⁰)

Abstract

The ideal .v 0 / is known in the literature and is naturally linked to the structure OE! ! . 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 /.