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Results tagged with continuum-hypothesis
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user 12120
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.
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Intersection of compact sets in the unit interval
Assuming the continuum hypothesis, the answer is negative.
First of all, we can index ${\cal K}$ by $[0,1]$, let $K_x$ be the set in ${\cal K}$ with index $x$. Now well-order $[0,1]$ in a way corresp …
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