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Poset club_AD Cardinal Invariants positive partition relation Strongly Luzin set AIM forcing Generalized Clubs Hedetniemi's conjecture Knaster Diamond Sakurai's Bell inequality Ineffable cardinal Filter reflection 54G20 Kurepa Hypothesis super-Souslin tree stationary hitting Successor of Singular Cardinal square Singular cofinality Square-Brackets Partition Relations Uniformly coherent Universal Sequences Selective Ultrafilter Subadditive Non-saturation diamond star Dowker space O-space Slim tree countably metacompact strongly bounded groups Prikry-type forcing Reflecting stationary set Chang's conjecture Diamond for trees Constructible Universe Generalized descriptive set theory Postprocessing function Almost Souslin Foundations higher Baire space Almost-disjoint family ccc PFA Hindman's Theorem Rock n' Roll Precaliber Club Guessing Rainbow sets Cohen real Countryman line Coherent tree GMA transformations Partition Relations Forcing Dushnik-Miller Weakly compact cardinal Knaster and friends b-scale Ulam matrix Jonsson cardinal Ostaszewski square Uniformly homogeneous Antichain Well-behaved magma Subnormal ideal Chromatic number Lipschitz reduction approachability ideal Parameterized proxy principle Aronszajn tree Ramsey theory over partitions Greatly Mahlo C-sequence Sigma-Prikry weak square Singular Density Ascent Path HOD Strongly compact cardinal Cardinal function Local Club Condensation. Mandelbrot set Open Access Shelah's Strong Hypothesis Absoluteness L-space incompactness Small forcing Prevalent singular cardinals stick polarized partition relation stationary reflection Microscopic Approach Fat stationary set Fodor-type reflection Nonspecial tree middle diamond Amenable C-sequence specializable Souslin tree PFA(S)[S] Axiom R very good scale Intersection model Reduced Power Vanishing levels Large Cardinals Strong coloring projective Boolean algebra Forcing Axioms free Souslin tree Almost countably chromatic Commutative cancellative semigroups tensor product graph S-Space Distributive tree Souslin Tree Commutative projection system Erdos Cardinal Analytic sets Erdos-Hajnal graphs Iterated forcing sap Uniformization ZFC construction Whitehead Problem Fast club Subtle tree property coloring number full tree OCA SNR indecomposable ultrafilter regressive Souslin tree Sierpinski's onto mapping principle free Boolean algebra reflection principles weak Kurepa tree Minimal Walks xbox Successor of Regular Cardinal Martin's Axiom P-Ideal Dichotomy Subtle cardinal Closed coloring Luzin set weak diamond unbounded function Rado's conjecture Singular cardinals combinatorics Diamond-sharp Was Ulam right Hereditarily Lindelöf space square principles nonmeager set
Tag Archives: Reflecting stationary set
Transformations of the transfinite plane
Joint work with Jing Zhang. Abstract. We study the existence of transformations of the transfinite plane that allow one to reduce Ramsey-theoretic statements concerning uncountable Abelian groups into classical partition relations for uncountable cardinals. To exemplify: we prove that for every … Continue reading
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
4th Arctic Set Theory Workshop, January 2019
I gave an invited talk at the Arctic Set Theory Workshop 4 in Kilpisjärvi, January 2019. Talk Title: Splitting a stationary set: Is there another way? Abstract: Motivated by a problem in pcf theory, we seek for a new way … Continue reading
Posted in Invited Talks
Tagged Club Guessing, Reflecting stationary set, Ulam matrix, very good scale
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