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unbounded function HOD Jonsson cardinal Commutative projection system OCA C-sequence Minimal Walks Aronszajn tree Cardinal Invariants Foundations positive partition relation free Boolean algebra Hindman's Theorem PFA(S)[S] ZFC construction AIM forcing Fast club regressive Souslin tree Whitehead Problem Forcing weak diamond SNR Dushnik-Miller Analytic sets Kurepa Hypothesis Uniformly coherent Strongly Luzin set Uniformization Subadditive Lipschitz reduction very good scale xbox b-scale Hedetniemi's conjecture Was Ulam right? Martin's Axiom approachability ideal Fat stationary set coloring number Rainbow sets stationary hitting Countryman line countably metacompact Sierpinski's onto mapping principle Singular cofinality specializable Souslin tree incompactness P-Ideal Dichotomy PFA Closed coloring Nonspecial tree Diamond Coherent tree ccc Weakly compact cardinal Constructible Universe Cohen real Small forcing Ineffable cardinal Fodor-type reflection Selective Ultrafilter Intersection model Diamond-sharp higher Baire space diamond star transformations Partition Relations Antichain Luzin set Strong coloring Poset Erdos Cardinal Reflecting stationary set Well-behaved magma Club Guessing Sigma-Prikry Rock n' Roll Slim tree Square-Brackets Partition Relations Generalized Clubs Ulam matrix Singular cardinals combinatorics super-Souslin tree Shelah's Strong Hypothesis Respecting tree Universal Sequences Axiom R club_AD Uniformly homogeneous Almost Souslin Ascent Path Precaliber Generalized descriptive set theory Strongly compact cardinal Commutative cancellative semigroups Filter reflection Souslin Tree tensor product graph Almost countably chromatic Vanishing levels projective Boolean algebra sap Almost-disjoint family Large Cardinals Subtle tree property Knaster Mandelbrot set indecomposable ultrafilter Amenable C-sequence square principles stick Absoluteness 54G20 Iterated forcing Diamond for trees Microscopic Approach Successor of Regular Cardinal Distributive tree Postprocessing function weak square Non-saturation Erdos-Hajnal graphs Ostaszewski square Parameterized proxy principle nonmeager set Open Access O-space Reduced Power Local Club Condensation. Successor of Singular Cardinal S-Space Chromatic number full tree Subnormal ideal Greatly Mahlo Chang's conjecture weak Kurepa tree free Souslin tree polarized partition relation Dowker space Knaster and friends middle diamond Ramsey theory over partitions Subtle cardinal Sakurai's Bell inequality Prikry-type forcing Forcing Axioms strongly bounded groups square Prevalent singular cardinals Hereditarily Lindelöf space reflection principles stationary reflection Rado's conjecture Cardinal function Singular Density L-space GMA
Tag Archives: Countryman line
MFO workshop in Set Theory, January 2025
I gave an invited talk at the Set Theory meeting in Obwerwolfach, January 2025. Talk Title: Non-structure theorems for higher Aronszajn lines. Abstract: An
Posted in Invited Talks
Tagged Countryman line
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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
