English

Good and bad points in scales

Logic 2014-09-15 v2

Abstract

We address three questions raised by Cummings and Foreman regarding a model of Gitik and Sharon. We first analyze the PCF-theoretic structure of the Gitik-Sharon model, determining the extent of good and bad scales. We then classify the bad points of the bad scales existing in both the Gitik-Sharon model and other models containing bad scales. Finally, we investigate the ideal of subsets of singular cardinals of countable cofinality carrying good scales.

Cite

@article{arxiv.1311.5522,
  title  = {Good and bad points in scales},
  author = {Chris Lambie-Hanson},
  journal= {arXiv preprint arXiv:1311.5522},
  year   = {2014}
}

Comments

26 pages

R2 v1 2026-06-22T02:12:22.551Z