Measuring club sequences, together with the Continuum Hypothesis

Mathematics – Logic

Scientific paper

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This paper has been momentarily withdrawn due to a gap in the proof of lemma 3.8

Scientific paper

We answer a question of Moore by building a forcing extension satisfying measuring together with CH. The construction works over any model of ZFC and can be described as a forcing iteration with countable structures as side conditions and with symmetry constraints. Also, we show that a small variation of this construction produces a model of measuring together with the continuum being larger than the second uncountable cardinal.

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