Two Remarks on Partitions of ω with Finite Blocks

Mathematical Logic Quarterly 45 (3):415-420 (1999)
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Abstract

We prove that all algebras P/IR, where the IR-'s are ideals generated by partitions of W into finite and arbitrary large elements, are isomorphic and homogeneous. Moreover, we show that the smallest size of a tower of such partitions with respect to the eventually-refining preordering is equal to the smallest size of a tower on ω

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Set theory.Thomas Jech - 1981 - Journal of Symbolic Logic.

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