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