English

There is a $+$-Ramsey \textsf{MAD} family

Logic 2018-10-23 v1

Abstract

We answer an old question of Michael Hru\v{s}\'{a}k by constructing a ++-Ramsey \textsf{MAD} family without the need of any additional axioms beyond ZFC.\mathsf{ZFC.} We also prove that every Miller-indestructible \textsf{MAD }family is ++-Ramsey, this improves a result of Michael Hru\v{s}\'{a}k.

Keywords

Cite

@article{arxiv.1810.08763,
  title  = {There is a $+$-Ramsey \textsf{MAD} family},
  author = {Osvaldo Guzman},
  journal= {arXiv preprint arXiv:1810.08763},
  year   = {2018}
}