English

Mad Spectra

Logic 2014-02-25 v1

Abstract

The mad spectrum is the set of all cardinalities of infinite maximal almost disjoint families on omega. We treat the problem to characterize those sets A which, in some forcing extension of the universe, can be the mad spectrum. We solve this problem to some extent. What remains open is the possible values of min(A) and max(A).

Cite

@article{arxiv.1402.5616,
  title  = {Mad Spectra},
  author = {Saharon Shelah and Otmar Spinas},
  journal= {arXiv preprint arXiv:1402.5616},
  year   = {2014}
}
R2 v1 2026-06-22T03:13:54.887Z