
doi: 10.2307/2273423
AbstractWe prove independence results concerning the number of nonisomorphic models (using the S-chain condition and S-properness) and the consistency of “ there is a universal linear order of power ℵ1”. Most of these results were announced in [Sh 4], [Sh 5].In subsequent papers we shall prove an analog f MA for forcing which does not destroy stationary subsets of ω1 investigate -properness for various filters and prove the consistency with G.C.H. of an axiom implying SH (for ℵ1), and connected results.
Properties of classes of models, Models with special properties (saturated, rigid, etc.), cardinality restrictions, independence results, number of non-isomorphic models of a given cardinality, Consistency and independence results, iterated forcing
Properties of classes of models, Models with special properties (saturated, rigid, etc.), cardinality restrictions, independence results, number of non-isomorphic models of a given cardinality, Consistency and independence results, iterated forcing
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