Bounding by canonical functions, with CH

Details Bounding by canonical functions, with CH Bounding by canonical functions, with CH

2000-11-22

arxiv.org/abs/math/0011187v2

Mathematics

Logic

Scientific paper

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.

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