-stability

Publisher： Cambridge University Press

E-ISSN： 1943-5886|58|3|941-954

ISSN： 0022-4812

Source： The Journal of Symbolic Logic, Vol.58, Iss.3, 1993-09, pp. : 941-954

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Abstract

We investigate the connection between -stability for random and Cohen forcing notions and the measurability and categoricity of the -sets. We show that Shelah's model for -measurability and categoricity satisfies -random-stability while it does not satisfy -Cohen-stability. This gives an example of measure-category asymmetry. We also present a result concerning finite support iterations of Suslin forcing.

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