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Cohen real Mandelbrot set Aronszajn tree Vanishing levels positive partition relation Sakurai's Bell inequality Knaster and friends Martin's Axiom Axiom R Ascent Path L-space Ramsey theory over partitions Rainbow sets 54G20 Singular cofinality Filter reflection HOD approachability ideal Absoluteness Sigma-Prikry Knaster Foundations Analytic sets Reduced Power Diamond-sharp Slim tree SNR free Boolean algebra polarized partition relation AIM forcing Forcing Was Ulam right Antichain Chang's conjecture strongly bounded groups Ineffable cardinal super-Souslin tree higher Baire space xbox Chromatic number Hindman's Theorem O-space specializable Souslin tree Subnormal ideal Fat stationary set Small forcing unbounded function Strong coloring Strongly compact cardinal Amenable C-sequence Erdos-Hajnal graphs square principles ccc Luzin set indecomposable ultrafilter Subtle tree property Closed coloring Uniformly coherent stationary reflection Precaliber diamond star Square-Brackets Partition Relations transformations P-Ideal Dichotomy Large Cardinals GMA Partition Relations Successor of Singular Cardinal ZFC construction Hedetniemi's conjecture Universal Sequences incompactness Souslin Tree weak Kurepa tree tensor product graph Selective Ultrafilter club_AD weak square Successor of Regular Cardinal Lipschitz reduction Whitehead Problem S-Space Distributive tree Fast club Open Access PFA Fodor-type reflection Cardinal function Singular Density square Rado's conjecture coloring number Almost countably chromatic Ulam matrix Commutative projection system Hereditarily Lindelöf space free Souslin tree Strongly Luzin set Erdos Cardinal Prikry-type forcing Forcing Axioms Dushnik-Miller very good scale weak diamond countably metacompact Local Club Condensation. Cardinal Invariants Iterated forcing Microscopic Approach Shelah's Strong Hypothesis stationary hitting Almost-disjoint family Greatly Mahlo Countryman line nonmeager set Generalized Clubs Subadditive OCA Commutative cancellative semigroups Singular cardinals combinatorics stick Coherent tree Sierpinski's onto mapping principle C-sequence regressive Souslin tree projective Boolean algebra Nonspecial tree Subtle cardinal Intersection model Ostaszewski square Uniformly homogeneous Club Guessing Generalized descriptive set theory b-scale Well-behaved magma middle diamond Kurepa Hypothesis sap Parameterized proxy principle Prevalent singular cardinals Poset Diamond Minimal Walks Diamond for trees Reflecting stationary set Dowker space full tree Jonsson cardinal Respecting tree Postprocessing function Uniformization PFA(S)[S] Non-saturation reflection principles Rock n' Roll Almost Souslin Constructible Universe Weakly compact cardinal
Tag Archives: Subtle tree property
Walks on uncountable ordinals and non-structure theorems for higher Aronszajn lines
Joint work with Tanmay Inamdar. Abstract. It is proved that if there is an $\aleph_2$-Aronszajn line, then there is one that does not contain an $\aleph_2$-Countryman line. This solves a problem of Moore and stands in a sharp contrast with … Continue reading
The vanishing levels of a tree
Joint work with Shira Yadai and Zhixing You. Abstract. We initiate the study of the spectrum $Vspec(\kappa)$ of sets that can be realized as the vanishing levels $V(\mathbf T)$ of a normal $\kappa$-tree $\mathbf T$. The latter is an invariant in … Continue reading
