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