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Mandelbrot set L-space square weak Kurepa tree Non-saturation Constructible Universe Monotonically far Club Guessing Ulam matrix Rado's conjecture Aronszajn tree PFA(S)[S] Ostaszewski square Subadditive Open Access Strongly compact cardinal specializable Souslin tree AIM forcing Dushnik-Miller Universal Sequences very good scale approachability ideal Diamond for trees Countryman line Generalized descriptive set theory middle diamond Uniformly coherent regressive Souslin tree stationary reflection Ascent Path Postprocessing function Forcing with side conditions Cohen real Poset Singular cofinality PFA perfectly normal Reduced Power Kurepa Hypothesis b-scale Parameterized proxy principle SNR Filter reflection square principles P-Ideal Dichotomy Jonsson cardinal Sierpinski's onto mapping principle Ineffable cardinal C-sequence Closed coloring Antichain Entangled linear order Chromatic number Local Club Condensation. Respecting tree Successor of Regular Cardinal super-Souslin tree free Boolean algebra stationary hitting Microscopic Approach Knaster Subtle tree property Cardinal function Partition Relations projective Boolean algebra xbox Partition relations for trees club_AD Souslin Tree Uniformization OCA GMA indecomposable filter sap full tree countably metacompact Diamond-sharp S-Space Intersection model Fat stationary set Small forcing Commutative cancellative semigroups free Souslin tree polarized partition relation strongly bounded groups Lipschitz reduction Strong coloring Hindman's Theorem Selective Ultrafilter positive partition relation Amenable C-sequence Hedetniemi's conjecture Iterated forcing weak square Minimal Walks Strongly Luzin set Reflecting stationary set Absoluteness Well-behaved magma Prevalent singular cardinals Singular cardinals combinatorics Distributive tree incompactness Commutative projection system coloring number Fodor-type reflection Erdos Cardinal Ascending path Sakurai's Bell inequality Subtle cardinal Sigma-Prikry Singular Density O-space Nonspecial tree Rock n' Roll Almost countably chromatic Interval topology on trees Diamond Fast club Knaster and friends nonmeager set diamond star Ramsey theory over partitions Successor of Singular Cardinal Prikry-type forcing Analytic sets unbounded function Shelah's Strong Hypothesis stick higher Baire space Almost Souslin Greatly Mahlo Generalized Clubs weak diamond reflection principles Subnormal ideal Chang's conjecture ZFC construction Whitehead Problem Martin's Axiom Luzin set Axiom R ccc Uniformly homogeneous Coherent tree Was Ulam right? Vanishing levels Dowker space Large Cardinals Precaliber 54G20 Forcing Rainbow sets Slim tree tensor product graph Hereditarily Lindelöf space Forcing Axioms HOD Foundations Weakly compact cardinal transformations Almost-disjoint family Cardinal Invariants Erdos-Hajnal graphs Square-Brackets Partition Relations
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 $\diamondsuit_S$, for a subset $S\subseteq\aleph_{\omega+1}$ that reflects stationarily often, is consistent with GCH and $\text{AP}_{\aleph_\omega}$, relatively to the existence of a supercompact cardinal. This should be comapred with … Continue reading
