Abstract
We prove that the Souslin Hypothesis does not imply “every Aronszajn tree is special”. For this end we introduce variants of the notion “special Aronszajn tree”. We also introduce a limit of forcings bigger than the inverse limit, and prove it preserves properness and related notions not less than inverse limit, and the proof is easier in some respects. We can get away without using it, but I want to represent it somewhere.
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© 1982 Springer-Verlag Berlin Heidelberg
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Shelah, S. (1982). Souslin Hypothesis Does Not Imply “Every Aronszajn Tree is Special”. In: Proper Forcing. Lecture Notes in Mathematics, vol 940. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21543-2_9
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DOI: https://doi.org/10.1007/978-3-662-21543-2_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11593-9
Online ISBN: 978-3-662-21543-2
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