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arxiv: 1402.5616 · v1 · pith:7OVBH2RJnew · submitted 2014-02-23 · 🧮 math.LO

Mad Spectra

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keywords problemsomespectrumalmostcardinalitiescharacterizedisjointextension
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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).

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