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square Cohen real 54G20 Martin's Axiom Absoluteness C-sequence Hedetniemi's conjecture Non-saturation Club Guessing Successor of Regular Cardinal Was Ulam right? Dowker space Luzin set stationary hitting specializable Souslin tree Analytic sets GMA Almost countably chromatic Sigma-Prikry Jonsson cardinal OCA Generalized descriptive set theory xbox Uniformization Axiom R Monotonically far Rado's conjecture very good scale Cardinal Invariants Forcing Axioms Knaster and friends Cardinal function free Souslin tree Fat stationary set Weakly compact cardinal Local Club Condensation. Fast club P-Ideal Dichotomy stick strongly bounded groups Ascent Path Greatly Mahlo projective Boolean algebra Minimal Walks positive partition relation SNR club_AD Erdos-Hajnal graphs PFA higher Baire space Foundations Countryman line weak Kurepa tree transformations Strongly Luzin set Hereditarily Lindelöf space Ostaszewski square Subtle tree property Slim tree Strong coloring Subadditive Shelah's Strong Hypothesis S-Space L-space Reflecting stationary set countably metacompact stationary reflection Open Access super-Souslin tree diamond star Uniformly homogeneous Ineffable cardinal Diamond Parameterized proxy principle Rainbow sets Singular cardinals combinatorics Intersection model Diamond-sharp Ramsey theory over partitions approachability ideal Forcing with side conditions Singular Density Fodor-type reflection Kurepa Hypothesis AIM forcing full tree Partition relations for trees Hindman's Theorem Respecting tree polarized partition relation Lipschitz reduction Ascending path Ulam matrix Uniformly coherent Large Cardinals Subnormal ideal Strongly compact cardinal Microscopic Approach Commutative projection system reflection principles Nonspecial tree square principles Antichain HOD ZFC construction Precaliber weak square Poset Erdos Cardinal Chang's conjecture Mandelbrot set regressive Souslin tree Singular cofinality Prevalent singular cardinals Interval topology on trees Vanishing levels incompactness Generalized Clubs Commutative cancellative semigroups middle diamond Rock n' Roll Amenable C-sequence Prikry-type forcing Sierpinski's onto mapping principle coloring number Subtle cardinal Constructible Universe indecomposable filter tensor product graph unbounded function sap nonmeager set Coherent tree O-space ccc Dushnik-Miller Knaster Well-behaved magma Souslin Tree weak diamond Diamond for trees Aronszajn tree b-scale Selective Ultrafilter Reduced Power Postprocessing function Forcing perfectly normal Almost Souslin Partition Relations Sakurai's Bell inequality Small forcing Universal Sequences Filter reflection Square-Brackets Partition Relations Almost-disjoint family Closed coloring Iterated forcing Chromatic number Whitehead Problem Successor of Singular Cardinal free Boolean algebra Entangled linear order Distributive tree PFA(S)[S]
Tag Archives: SNR
Partitioning a reflecting stationary set
Joint work with Maxwell Levine. Abstract. We address the question of whether a reflecting stationary set may be partitioned into two or more reflecting stationary subsets, providing various affirmative answers in ZFC. As an application to singular cardinals combinatorics, we infer … Continue reading
