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