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