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