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15
126
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Omega-distributivity of the club shooting poset

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#set-theory #forcing
237
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Collapse $\aleph_{\omega_1}$ to $\aleph_\omega$.

Published on
#set-theory #forcing #large-cardinals
30
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Preserving powersets and preserving MA

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#set-theory #order-theory #forcing
108
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In forcing, is Scott's trick "needed" to prove the axiom schema of replacement for M[G]?

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#logic #set-theory #model-theory #forcing
76
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On complete embeddings between forcing notions

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#reference-request #set-theory #forcing
346
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Naive way to violate SCH at $\aleph_\omega$

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#logic #set-theory #forcing
137
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Why can’t we use an arbitrary poset/Boolean algebra when doing set-theoretic forcing

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#logic #set-theory #model-theory #forcing
46
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Is the Map $i$ a Complete or Dense Embedding from Prikry Silver forcing $\mathbb P\mathbb S$ to Sacksforcing $\mathbb S$?

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#set-theory #forcing
54
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Prikry sequence is countable

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#set-theory #forcing
80
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Strange consistency proof based on countability

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#solution-verification #set-theory #model-theory #forcing
175
Views

Adding new bijections without adding new subsets by forcing

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#set-theory #forcing
109
Views

Is forcing with open intervals on [0, 1] equivalent to Cohen forcing?

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#set-theory #forcing
103
Views

Can a Suslin tree squared collapse $\aleph_1$?

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#set-theory #forcing
61
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Applications of Cohen reals (obtained by forcing) and maths without Continuum Hypothesis?

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#real-analysis #set-theory #real-numbers #cardinals #forcing
426
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What is the definition of a Cohen real?

Published on
#set-theory #forcing

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