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