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