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