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