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