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Results tagged with continuum-hypothesis
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user 5903
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.
3
votes
Questions on continuum hypothesis
As the comment says: the roles of Gödel and Cohen are reversed.
One cannot disprove CH using ZF(C), so I take it you simply assume the negation of CH and ask about fields between $\mathbb{Q}$ and $\m …
- 11.4k
6
votes
Accepted
Embeddability into $\beta\omega$ and $\omega^*$
Answer to 1: In On closed subspaces of $\omega^*$ (Proc. AMS, 1993) it is shown by Dow, Frankiewicz and Zbierski that in the $\aleph_2$-Cohen model every compact zero-dimensional $F$-space of weight a …
- 11.4k
7
votes
Iterated forcing and CH
Here is a sketch.
We may assume that each $\dot Q_\alpha$ has $\omega_1$ as its universe; in which case the underlying set of $P_{\alpha+1}$ can be taken to be $P_\alpha\times\omega_1$ and the orderin …
- 11.4k