Club guessing and the universal models
Logic
2026-02-04 v2
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.
Cite
@article{arxiv.math/0608330,
title = {Club guessing and the universal models},
author = {Mirna Džamonja},
journal= {arXiv preprint arXiv:math/0608330},
year = {2026}
}