A characterization of Martin's axiom in terms of absoluteness

Author:

Bagaria Joan

Abstract

AbstractMartin's axiom is equivalent to the statement that the universe is absolute under ccc forcing extensions for Σ1 sentences with a subset of κ, , as a parameter.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference5 articles.

1. Partitioning pairs of countable ordinals

2. Bagaria J. , Definable forcing and regularity properties of projective sets of reals, Ph.D. thesis , Berkeley, 1991.

3. Some exact equiconsistency results in set theory.

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