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Results tagged with continuum-hypothesis
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user 12705
Questions about the continuum hypothesis, or where the continuum hypothesis or its negation plays a role. This tag is also suitable, by extension, to refer to the generalized continuum hypothesis and related issues.
24
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Can we find CH in the analytical hierarchy?
The collapsing forcing by countable partial functions from $\omega_1$ to $2^\omega$ is $\omega_1$-closed, hence it preserves $H_{\omega_1}$, and a fortiori the truth of all formulas in the analytical …
- 47.1k
5
votes
A New Continuum Hypothesis (Revised Version)
As for question 2, if $\forall\kappa\,2^{\aleph_\kappa}=\aleph_{F(\kappa)}$, then $F$ does not have an acceleration rank.
If the rank were $\delta\ge2$, we could take $\kappa$ to be any fixpoint of t …
- 47.1k