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paper

Bounding by canonical functions, with CH

arXiv:math/0011187

Abstract

We show that that a certain class of semi-proper iterations does not add omega-sequences. As a result, starting from suitable large cardinals one can obtain a model in which the Continuum Hypothesis holds and every function from omega_1 to omega_1 is bounded by a canonical function on a club, and so omega_1 is the omega_2-nd canonical function.