Archives
Keywords
square principles Singular Density regressive Souslin tree club_AD Erdos-Hajnal graphs nonmeager set Iterated forcing Minimal Walks Monotonically far Reflecting stationary set Large Cardinals Interval topology on trees Microscopic Approach Well-behaved magma Ostaszewski square Commutative cancellative semigroups free Souslin tree Strongly compact cardinal Souslin Tree Nonspecial tree Almost countably chromatic incompactness Diamond transformations Foundations Square-Brackets Partition Relations Hindman's Theorem weak Kurepa tree 54G20 Uniformly homogeneous Constructible Universe Chang's conjecture Successor of Regular Cardinal Open Access Rainbow sets perfectly normal Closed coloring Jonsson cardinal C-sequence Respecting tree stationary hitting ccc Cohen real higher Baire space Subtle tree property Strong coloring Singular cardinals combinatorics Antichain positive partition relation Luzin set Knaster middle diamond Forcing Axioms Shelah's Strong Hypothesis Ascending path Ramsey theory over partitions Fast club Mandelbrot set Prevalent singular cardinals Commutative projection system Forcing with side conditions Sakurai's Bell inequality ZFC construction Was Ulam right? Axiom R AIM forcing Rado's conjecture Sigma-Prikry stick GMA Prikry-type forcing b-scale Selective Ultrafilter PFA specializable Souslin tree countably metacompact Precaliber indecomposable filter unbounded function Kurepa Hypothesis HOD Slim tree Hereditarily Lindelöf space projective Boolean algebra Cardinal function Strongly Luzin set Uniformly coherent Postprocessing function Generalized Clubs Successor of Singular Cardinal Countryman line Vanishing levels Greatly Mahlo Hedetniemi's conjecture full tree Erdos Cardinal Poset Diamond-sharp Lipschitz reduction weak diamond Absoluteness diamond star weak square stationary reflection Ascent Path coloring number approachability ideal Analytic sets Uniformization Almost Souslin Knaster and friends Subtle cardinal Cardinal Invariants SNR Intersection model Chromatic number Subadditive Non-saturation Parameterized proxy principle Club Guessing Distributive tree sap Coherent tree Filter reflection L-space Entangled linear order Subnormal ideal Universal Sequences Martin's Axiom Dushnik-Miller xbox Rock n' Roll Reduced Power very good scale Small forcing Generalized descriptive set theory strongly bounded groups Ineffable cardinal Dowker space S-Space Almost-disjoint family square P-Ideal Dichotomy Fodor-type reflection polarized partition relation O-space Amenable C-sequence Fat stationary set Aronszajn tree Sierpinski's onto mapping principle Ulam matrix free Boolean algebra Partition Relations Singular cofinality Whitehead Problem reflection principles Forcing Diamond for trees OCA PFA(S)[S] tensor product graph Weakly compact cardinal Local Club Condensation. super-Souslin tree
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 $\omega_1$-Countryman line is an uncountable linear order $L$ such that $L^2$ (with the pointwise ordering) is … Continue reading
Posted in Invited Talks
Tagged Countryman line, Monotonically far
Comments Off on MFO workshop in Set Theory, January 2025
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
