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Diamond in Subtle Cardinals

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#set-theory #large-cardinals #infinitary-combinatorics
177
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Understanding sets added by a forcing notion

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#set-theory #forcing #infinitary-combinatorics
169
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Infinite analogue of the pigeonhole principle

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#elementary-set-theory #infinitary-combinatorics
39
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Family hitting r-sets

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#combinatorics #extremal-combinatorics #infinitary-combinatorics
231
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Bartoszyński's results on measure and category and their importance

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#real-analysis #measure-theory #set-theory #baire-category #infinitary-combinatorics
373
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How can an $\omega_1$-tree possibly be normal and yet not have any $\omega_1$-branch?

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#set-theory #infinitary-combinatorics
246
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A question to $\Diamond$ implies the existence of a Suslin tree

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#set-theory #infinitary-combinatorics
159
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Existence of $\lambda^+$ Aronszajn trees when $\lambda$ is regular and $2^{<\lambda}=\lambda$

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#set-theory #trees #infinitary-combinatorics
28
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Intersection of decreasing family of $\kappa-$many sets

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#elementary-set-theory #cardinals #infinitary-combinatorics
257
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Well-pruned $\kappa$-Suslin trees have the $\kappa$-Baire property

Published on
#set-theory #forcing #infinitary-combinatorics
175
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The generalized continuum hypothesis can't fail first at $\omega_{\omega_{1}}$

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#set-theory #cardinals #infinitary-combinatorics
132
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Help with a problem about consequences of the continuum hypothesis

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#set-theory #infinitary-combinatorics
438
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Equivalents of Jensen's diamond principle

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#set-theory #infinitary-combinatorics
103
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Quick question about $\diamondsuit_\kappa$

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#set-theory #infinitary-combinatorics
27
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Uncountable sequence of functions which differ on finitely many values

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#set-theory #infinitary-combinatorics

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