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Two Remarks on Partitions of ω with Finite Blocks

✍ Scribed by Stanislav Krajči

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
353 KB
Volume
45
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

We prove that all algebras P(w)/I~R~, where the I~R~‐'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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