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Set mapping reflection

Justin Tatch Moore
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Abstract

In this note we will discuss a new reflection principle which follows from the Proper Forcing Axiom. The immediate purpose will be to prove that the bounded form of the Proper Forcing Axiom implies both that 2^omega = omega_2 and that L(P(omega_1)) satisfies the Axiom of Choice. It will also be demonstrated that this reflection principle implies that combinatorial principle Square(kappa) fails for all regular kappa > omega_1.

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Justin Tatch Moore. 2005-01-28. Set mapping reflection. https://doi.org/10.1142/s0219061305000407

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