English

On idealized versions of $\pr_1(\mu^+,\mu^+,\mu^+,\cf(\mu))$

Logic 2012-10-23 v1

Abstract

We obtain an improvement of some coloring theorems from \cite{nsbpr}, \cite{819}, and \cite{APAL} for the case where the singular cardinal in question has countable cofinality. As a corollary, we obtain an "idealized" version of the combinatorial principle \pr1(μ+,μ+,μ+,\cf(μ))\pr_1(\mu^+,\mu^+,\mu^+,\cf(\mu)) that maximizes the indecomposability of the associated ideal.

Keywords

Cite

@article{arxiv.1210.5759,
  title  = {On idealized versions of $\pr_1(\mu^+,\mu^+,\mu^+,\cf(\mu))$},
  author = {Todd Eisworth},
  journal= {arXiv preprint arXiv:1210.5759},
  year   = {2012}
}