### Mad spectra

by Shelah and Spinas. [ShSi:1038]

J Symbolic Logic, 2015

The mad spectrum is the set of all cardinalities of infinitemaximal 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) .

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