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PFA(S)[S] Small forcing Sigma-Prikry Souslin Tree Rado's conjecture stationary reflection Reduced Power Strong coloring higher Baire space Commutative cancellative semigroups Forcing Nonspecial tree Absoluteness Aronszajn tree stick Greatly Mahlo Subtle cardinal Almost-disjoint family Uniformly homogeneous OCA xbox super-Souslin tree club_AD Precaliber GMA Was Ulam right Filter reflection Chang's conjecture Vanishing levels Singular Density Cardinal function Square-Brackets Partition Relations countably metacompact Hindman's Theorem very good scale Kurepa Hypothesis regressive Souslin tree b-scale Strongly Luzin set Closed coloring Erdos-Hajnal graphs polarized partition relation Jonsson cardinal weak Kurepa tree Local Club Condensation. Diamond for trees Chromatic number Uniformly coherent approachability ideal Knaster and friends free Souslin tree incompactness Martin's Axiom Selective Ultrafilter HOD Postprocessing function coloring number Iterated forcing Coherent tree Luzin set Cohen real sap Foundations stationary hitting Weakly compact cardinal Dowker space Microscopic Approach Whitehead Problem Generalized descriptive set theory AIM forcing Erdos Cardinal Diamond Singular cofinality Open Access Ostaszewski square L-space C-sequence Sakurai's Bell inequality Prikry-type forcing ZFC construction diamond star Non-saturation Fodor-type reflection reflection principles Parameterized proxy principle Distributive tree Successor of Regular Cardinal Ulam matrix Analytic sets indecomposable ultrafilter Subtle tree property 54G20 Reflecting stationary set Shelah's Strong Hypothesis Almost Souslin SNR Dushnik-Miller unbounded function specializable Souslin tree ccc O-space Diamond-sharp Ineffable cardinal Sierpinski's onto mapping principle Subadditive Uniformization Ramsey theory over partitions Forcing Axioms Hedetniemi's conjecture Partition Relations Fat stationary set Cardinal Invariants nonmeager set Club Guessing projective Boolean algebra weak square Rainbow sets Well-behaved magma Large Cardinals positive partition relation Amenable C-sequence S-Space Minimal Walks P-Ideal Dichotomy strongly bounded groups Rock n' Roll Singular cardinals combinatorics PFA Lipschitz reduction Constructible Universe transformations Poset Fast club Universal Sequences Mandelbrot set Generalized Clubs square principles Ascent Path Prevalent singular cardinals square Knaster Hereditarily Lindelöf space weak diamond Slim tree Subnormal ideal Antichain Axiom R tensor product graph middle diamond Successor of Singular Cardinal Almost countably chromatic full tree free Boolean algebra
Tag Archives: Greatly Mahlo
Full Souslin trees at small cardinals
Joint work with Shira Yadai and Zhixing You. Abstract. A $\kappa$-tree is full if each of its limit levels omits no more than one potential branch. Kunen asked whether a full $\kappa$-Souslin tree may consistently exist. Shelah gave an affirmative … Continue reading
Posted in Preprints, Souslin Hypothesis
Tagged Diamond for trees, full tree, Greatly Mahlo, Microscopic Approach, Parameterized proxy principle, Subtle cardinal, tensor product graph
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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
Knaster and friends II: The C-sequence number
Joint work with Chris Lambie-Hanson. Abstract. Motivated by a characterization of weakly compact cardinals due to Todorcevic, we introduce a new cardinal characteristic, the C-sequence number, which can be seen as a measure of the compactness of a regular uncountable … Continue reading
