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The Bounded Axiom A Forcing Axiom
Authors:Thilo Weinert
Institution:Mathematical Institute, University of Bonn, Endenicher Allee 60, D‐53115 Bonn
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) (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:BAAFA  BPFA  Forcing Axiom  Axiom A  proper forcing  correct cardinal  reflecting cardinal
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