English

A coloring theorem for succesors of singular cardinal

Logic 2010-01-05 v1

Abstract

We formulate and prove (in {\sf ZFC}) a strong coloring theorem which holds at successors of singular cardinals, and use it to answer several questions concerning Shelah's principle Pr1(μ+,μ+,μ+,\cf(μ))Pr_1(\mu^+,\mu^+,\mu^+,\cf(\mu)) for singular μ\mu.

Keywords

Cite

@article{arxiv.1001.0194,
  title  = {A coloring theorem for succesors of singular cardinal},
  author = {Todd Eisworth},
  journal= {arXiv preprint arXiv:1001.0194},
  year   = {2010}
}

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Initial version