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