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Preprint Number 886
886. Monica VanDieren
Submission date: 7 July 2015.
In this paper, we apply results of [Va3] and use towers to transfer symmetry from μ^+ down to μ in superstable abstract elementary classes without using extra set-theoretic assumptions or tameness.
Theorem. Suppose K is an abstract elementary class satisfying the
amalgamation and joint embedding properties and that K is both
μ- and μ^+-superstable. If K has symmetry for
non-μ^+-splitting, then K has symmetry for non-μ-splitting.
Mathematics Subject Classification:
Keywords and phrases:
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