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