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Results tagged with continuum-hypothesis
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user 6085
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.
5
votes
Accepted
Intermediate submodels and the continuum hypothesis
The answer is no in general. If $V[G]$ is a model of Martin's maximum and $W$ is an inner model of $V[G]$ with the same $\omega_2$, then $\mathcal P(\omega_1)^W=\mathcal P(\omega_1)^{V[G]}$, so $\math …
- 32.5k
9
votes
Open coloring axiom vs. CH
Here are two suggestions, whether they follow your instructions of "no machinery allowed", I will leave to you.
The following seems fairly direct to me, and I would think is the "standard" answer to …
- 32.5k
29
votes
Accepted
Continuum Hypothesis
A classical reference is Hypothèse du Continu by Waclaw Sierpiński (1934), available through the Virtual Library of Science as part of the series Mathematical Monographs of the Institute of Mathematic …
- 32.5k
46
votes
Solutions to the Continuum Hypothesis
(1) Patrick Dehornoy gave a nice talk at the Séminaire Bourbaki explaining Hugh Woodin's approach. It omits many technical details, so you may want to look at it before looking again at the Notices pa …
- 32.5k