English

A Galvin-Hajnal theorem for generalized cardinal characteristics

Logic 2023-02-17 v2

Abstract

We prove that a variety of generalized cardinal characteristics, including meeting numbers, the reaping number, and the dominating number, satisfy an analogue of the Galvin-Hajnal theorem, and hence also of Silver's theorem, at singular cardinals of uncountable cofinality.

Keywords

Cite

@article{arxiv.2202.06655,
  title  = {A Galvin-Hajnal theorem for generalized cardinal characteristics},
  author = {Chris Lambie-Hanson},
  journal= {arXiv preprint arXiv:2202.06655},
  year   = {2023}
}

Comments

18 pages

R2 v1 2026-06-24T09:35:04.784Z