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