Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)