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MAD SPECTRA
Published online by Cambridge University Press: 22 July 2015
Abstract
The mad spectrum is the set of all cardinalities of infinite maximal almost disjoint families on ω. We treat the problem to characterize those sets ${\rm {\cal A}} $ which, in some forcing extension of the universe, can be the mad spectrum. We give a complete solution to this problem under the assumption
$\vartheta ^{ < \vartheta } = \vartheta $, where
$\vartheta = {\rm{min}}\left( {\rm {\cal A}} \right) $.
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- Copyright © The Association for Symbolic Logic 2015
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