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Baumgartnerʼs conjecture and bounded forcing axioms

✍ Scribed by Asperó, David; Friedman, Sy-David; Mota, Miguel Angel; Sabok, Marcin


Book ID
121085092
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
258 KB
Volume
164
Category
Article
ISSN
0168-0072

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Bounded forcing axioms and the continuum
✍ David Asperó; Joan Bagaria 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 241 KB

We show that bounded forcing axioms (for instance, the Bounded Proper Forcing Axiom and the Bounded Semiproper Forcing Axiom) are consistent with the existence of (!2; !2)-gaps and thus do not imply the Open Coloring Axiom. They are also consistent with Jensen's combinatorial principles for L at the