English

Maximal Chains in {}^\omega\omega and Ultrapowers of the Integers

Logic 2016-09-06 v1

Abstract

Various questions posed by P. Nyikos concerning ultrafilters on ω\omega and chains in the partial order (ω,<)(\omega,<^*) are answered. The main tool is the oracle chain condition and variations of it.

Keywords

Cite

@article{arxiv.math/9204205,
  title  = {Maximal Chains in {}^\omega\omega and Ultrapowers of the Integers},
  author = {Saharon Shelah and Juris Steprāns},
  journal= {arXiv preprint arXiv:math/9204205},
  year   = {2016}
}