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