Martin's Maximum and the Pmaxaxiom(∗)
✍ Scribed by Paul Larson
- Book ID
- 104307052
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 128 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0168-0072
No coin nor oath required. For personal study only.
✦ Synopsis
Assuming the existence of a supercompact limit of supercompact cardinals, we modify the original consistency proof of Martin's Maximum to obtain a model in which MM holds but the Pmax axiom ( * ) fails.
📜 SIMILAR VOLUMES
## 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.
## Abstract We show that __L__(ℝ) absoluteness for semi‐proper forcings is equiconsistent with the existence of a remarkable cardinal, and hence by [6] with __L__(ℝ) absoluteness for proper forcings. By [7], __L__(ℝ) absoluteness for stationary set preserving forcings gives an inner model with a st
*The future ain't what it used to be...* Jensen interceptor is a man on a mission. Promoted to the lofty ranks of government spy - though he's not quite sure why - his first assignment is to monitor the Martin Martinists, a suspected terrorist cult who believe that, way back in 2008, a TV psychic c