# Sh:1038

• Shelah, S., & Spinas, O. (2015). Mad spectra. J. Symb. Log., 80(3), 901–916.
• 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 \mathcal 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({\mathcal A}) and max({\mathcal A}).
• published version (16p)
Bib entry
@article{Sh:1038,
author = {Shelah, Saharon and Spinas, Otmar},
journal = {J. Symb. Log.},
fjournal = {The Journal of Symbolic Logic},
volume = {80},
number = {3},
year = {2015},
pages = {901--916},
issn = {0022-4812},
doi = {10.1017/jsl.2015.9},
mrclass = {03E35 (03E17)},
mrnumber = {3395354},
mrreviewer = {Andr\'es Mill\'an},
doi = {10.1017/jsl.2015.9},
note = {\href{https://arxiv.org/abs/1402.5616}{arXiv: 1402.5616}},
arxiv_number = {1402.5616}
}