Independence results

Author:

Shelah Saharon

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference8 articles.

1. Iterated Cohen Extensions and Souslin's Problem

2. Whitehead problem, independence of categoricity simple theories and Boolean algebras;Shelah;Notices of the American Mathematical Society,1978

3. Αll $ℵ_1$-dense sets of reals can be isomorphic

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