Abstract
We show that Additivity of Measure does not imply MA(Suslin), thus answering an open question in [J-S 1]. We define the notion of Susiin absoluteness and we show that the existence of a Susiin absolute model of ZFC is equiconsistent with the existence of an inaccessible cardinal. Finally, we give a combinatorial characterization of MA(Amoeba) which is also equivalent to Additivity of Measure.
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© 1992 Springer-Verlag New York, Inc.
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Bagaria, J., Judah, H. (1992). Amoeba Forcing, Suslin Absoluteness and Additivity of Measure. In: Judah, H., Just, W., Woodin, H. (eds) Set Theory of the Continuum. Mathematical Sciences Research Institute Publications, vol 26. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9754-0_13
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DOI: https://doi.org/10.1007/978-1-4613-9754-0_13
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