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