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Vive la difference III

Saharon Shelah

math.LOarXiv:math/0112237

Abstract

We show that, consistently, there is an ultrafilter F on omega such that if Nln=(Pln cup Qln,Pln,Qln,Rln) (for l =1,2, n< omega), Pln cup Qln subseteq omega, and prodn<omega N1n/F and prodn< omegaN2n/F are isomorphic models of the canonical theory tind of the strong independence property, then every isomorphism from prodn<omega N1n/F onto prodn<omega N2n/F is a product isomorphism.

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