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Results tagged with forcing
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user 491676
Forcing is a method first used to prove the continuum hypothesis is independent of the classical axioms of set theory
3
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answer
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Forcing equivalence and equal generic extensions
the separative quotients of the forcing notions). … This is for instance Shelah's definition of forcing equivalent (Def. 5.2 in Proper and Improper Forcing). …
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7
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What is the forcing $\bf U$ from Bartoszyński-Judah?
In Set Theory - on the structure of the Real Line by Bartoszyński & Judah, a forcing notion $\bf U$ is mentioned on page 339, allegedly corresponding to $\rm{cof}(\cal N)$ as it has several properties … Unfortunately, it seems that the book does not mention any reference to the origin of this forcing notion, or at least not that I could find.
What is this forcing notion $\bf U$? …
- 393
4
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answer
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Coherent sequence of ultrafilters in iterated forcing extensions
Let $\Bbb P_\delta=\langle\Bbb P_\alpha,\dot{\Bbb Q}_\alpha\mid \alpha\in\delta\rangle$ be a ${<}\kappa$-distributive forcing iteration with ${<}\kappa$-support such that for each $\alpha\leq\delta$ we …
- 393