Some considerations on amoeba forcing notions |
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Authors: | Giorgio Laguzzi |
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Institution: | 1. Universit?t Hamburg, Hamburg, Germany
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Abstract: | In this paper we analyse some notions of amoeba for tree forcings. In particular we introduce an amoeba-Silver and prove that it satisfies quasi pure decision but not pure decision. Further we define an amoeba-Sacks and prove that it satisfies the Laver property. We also show some application to regularity properties. We finally present a generalized version of amoeba and discuss some interesting associated questions. |
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