Archives
Keywords
square principles Amenable C-sequence Small forcing Constructible Universe ZFC construction weak square polarized partition relation Poset Cardinal function Square-Brackets Partition Relations sap coloring number Uniformly homogeneous Distributive tree Singular cofinality Strongly compact cardinal b-scale Rock n' Roll Open Access Shelah's Strong Hypothesis Hindman's Theorem Erdos Cardinal Almost-disjoint family Non-saturation Whitehead Problem Rado's conjecture Intersection model Postprocessing function positive partition relation Knaster Weakly compact cardinal Subnormal ideal Martin's Axiom Forcing Axioms Subtle tree property Chang's conjecture Analytic sets Ramsey theory over partitions Ulam matrix Diamond Parameterized proxy principle xbox Sierpinski's onto mapping principle Almost countably chromatic Ineffable cardinal weak diamond Successor of Singular Cardinal Local Club Condensation. Well-behaved magma Rainbow sets Generalized descriptive set theory Commutative cancellative semigroups Mandelbrot set Ostaszewski square Singular cardinals combinatorics higher Baire space Chromatic number weak Kurepa tree incompactness stationary hitting Antichain stationary reflection Aronszajn tree Cardinal Invariants Singular Density Dushnik-Miller projective Boolean algebra Jonsson cardinal Generalized Clubs approachability ideal L-space specializable Souslin tree free Boolean algebra tensor product graph unbounded function countably metacompact GMA reflection principles C-sequence Forcing middle diamond Dowker space free Souslin tree Kurepa Hypothesis Diamond for trees square Fodor-type reflection Greatly Mahlo P-Ideal Dichotomy Commutative projection system Reduced Power Nonspecial tree Axiom R Coherent tree Fat stationary set Luzin set indecomposable ultrafilter Fast club Universal Sequences Uniformization Sigma-Prikry Club Guessing Vanishing levels Lipschitz reduction Uniformly coherent stick Almost Souslin Microscopic Approach nonmeager set strongly bounded groups HOD Hereditarily Lindelöf space Erdos-Hajnal graphs Cohen real Foundations OCA O-space Was Ulam right? Slim tree Sakurai's Bell inequality Subadditive Souslin Tree Knaster and friends transformations Prevalent singular cardinals Ascent Path 54G20 diamond star Partition Relations full tree PFA(S)[S] PFA Respecting tree Minimal Walks Strong coloring S-Space Iterated forcing Diamond-sharp very good scale super-Souslin tree Absoluteness Subtle cardinal Successor of Regular Cardinal SNR Precaliber Reflecting stationary set club_AD Selective Ultrafilter ccc Closed coloring Prikry-type forcing Strongly Luzin set AIM forcing Countryman line Large Cardinals regressive Souslin tree Hedetniemi's conjecture Filter reflection
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
Comments Off on 4th Arctic Set Theory Workshop, January 2019
