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square principles Reflecting stationary set indecomposable ultrafilter Slim tree middle diamond Local Club Condensation. Souslin Tree Uniformization countably metacompact free Souslin tree ccc Diamond-sharp free Boolean algebra OCA Constructible Universe Filter reflection P-Ideal Dichotomy Foundations Singular Density Fat stationary set stationary hitting Erdos-Hajnal graphs Iterated forcing Kurepa Hypothesis Hedetniemi's conjecture Mandelbrot set full tree Weakly compact cardinal weak diamond S-Space Almost countably chromatic Almost-disjoint family Fodor-type reflection Square-Brackets Partition Relations diamond star Knaster and friends Strongly Luzin set Singular cofinality Postprocessing function Ineffable cardinal Commutative cancellative semigroups approachability ideal coloring number Uniformly homogeneous Sakurai's Bell inequality Singular cardinals combinatorics Reduced Power AIM forcing Rainbow sets Amenable C-sequence specializable Souslin tree Antichain Closed coloring transformations higher Baire space very good scale Minimal Walks strongly bounded groups Distributive tree Chromatic number weak square Shelah's Strong Hypothesis Rado's conjecture PFA(S)[S] polarized partition relation Subtle tree property Ulam matrix tensor product graph Cardinal function Universal Sequences Coherent tree Poset super-Souslin tree GMA Ascent Path Large Cardinals sap Fast club club_AD Was Ulam right Chang's conjecture Vanishing levels Rock n' Roll Greatly Mahlo ZFC construction Partition Relations Erdos Cardinal positive partition relation Dushnik-Miller Small forcing incompactness Generalized descriptive set theory Subtle cardinal HOD Generalized Clubs Prevalent singular cardinals projective Boolean algebra Successor of Singular Cardinal regressive Souslin tree Diamond Martin's Axiom Jonsson cardinal Open Access reflection principles Sierpinski's onto mapping principle Whitehead Problem Microscopic Approach Forcing Precaliber Analytic sets Cohen real SNR Diamond for trees Aronszajn tree Nonspecial tree Hindman's Theorem Luzin set Ramsey theory over partitions L-space Knaster Strong coloring Prikry-type forcing Club Guessing Almost Souslin Subadditive Successor of Regular Cardinal Non-saturation Uniformly coherent Cardinal Invariants Ostaszewski square nonmeager set Lipschitz reduction Well-behaved magma unbounded function 54G20 Selective Ultrafilter Absoluteness Dowker space Forcing Axioms O-space Sigma-Prikry C-sequence PFA Parameterized proxy principle Axiom R Subnormal ideal stationary reflection Hereditarily Lindelöf space square stick xbox b-scale
Tag Archives: Ascent Path
Knaster and friends III: Subadditive colorings
Joint work with Chris Lambie-Hanson. Abstract. We continue our study of strongly unbounded colorings, this time focusing on subadditive maps. In Part I of this series, we showed that, for many pairs of infinite cardinals $\theta < \kappa$, the existence … Continue reading
Posted in Partition Relations, Publications
Tagged Ascent Path, Knaster and friends, Open Access, P-Ideal Dichotomy, sap, square, Subadditive, Uniformly coherent
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Reduced powers of Souslin trees
Joint work with Ari Meir Brodsky. Abstract. We study the relationship between a $\kappa$-Souslin tree $T$ and its reduced powers $T^\theta/\mathcal U$. Previous works addressed this problem from the viewpoint of a single power $\theta$, whereas here, tools are developed … Continue reading