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Fragments of Martin's Maximum in generic extensions

✍ Scribed by Bernhard König; Yasuo Yoshinobu

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
137 KB
Volume
50
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

We show that large fragments of MM, e. g. the tree property and stationary reflection, are preserved by strongly (ω~1~ + 1)‐game‐closed forcings. PFA can be destroyed by a strongly (ω~1~ + 1)‐game‐closed forcing but not by an ω~2~‐closed. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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