Club guessing and the universal models

Abstract

We survey the use of club guessing and other pcf constructs in the context of showing that a given partially ordered class of objects does not have a largest, or a universal element. The article was published in 2006. On rereading we noticed a missing parameter in Definition 1.1, which makes the rest the recounting of the Kojman-Shelah incorrect. We correct the (minor) error in this version, changes marked in red.

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