𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Maximal Bounded Forcing Axiom

✍ Scribed by David Asperó


Book ID
124978662
Publisher
Association for Symbolic Logic
Year
2002
Tongue
English
Weight
304 KB
Volume
67
Category
Article
ISSN
0022-4812

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


The Bounded Axiom A Forcing Axiom
✍ Thilo Weinert 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB

## Abstract We introduce the Bounded Axiom A Forcing Axiom (BAAFA). It turns out that it is equiconsistent with the existence of a regular ∑~2~‐correct cardinal and hence also equiconsistent with BPFA. Furthermore we show that, if consistent, it does not imply the Bounded Proper Forcing Axiom (BPFA

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