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Maximum Monoreflections and Essential Extensions

✍ Scribed by Anthony W. Hager; Jorge Martinez

Book ID
110308788
Publisher
Springer
Year
2001
Tongue
English
Weight
75 KB
Volume
9
Category
Article
ISSN
0927-2852

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πŸ“œ SIMILAR VOLUMES

Fragments of Martin's Maximum in generic
Fragments of Martin's Maximum in generic extensions
✍ Bernhard KΓΆnig; Yasuo Yoshinobu πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 137 KB

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