The Bounded Axiom A Forcing Axiom

Mathematical Logic Quarterly 56 (6):659-665 (2010)
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Abstract

We introduce the Bounded Axiom A Forcing Axiom . 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

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References found in this work

Set mapping reflection.Justin Tatch Moore - 2005 - Journal of Mathematical Logic 5 (1):87-97.
The bounded proper forcing axiom.Martin Goldstern & Saharon Shelah - 1995 - Journal of Symbolic Logic 60 (1):58-73.
On coherent families of finite-to-one functions.Piotr Koszmider - 1993 - Journal of Symbolic Logic 58 (1):128-138.
A maximal bounded forcing axiom.David Asperó - 2002 - Journal of Symbolic Logic 67 (1):130-142.

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