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Parameterized proxy principle Cardinal Invariants Forcing Axioms Subnormal ideal Hindman's Theorem Poset positive partition relation Chromatic number regressive Souslin tree Fast club Minimal Walks strongly bounded groups Uniformization middle diamond Intersection model Singular Density Prikry-type forcing Nonspecial tree Subadditive b-scale sap tensor product graph Reduced Power PFA Knaster and friends Analytic sets free Boolean algebra Commutative cancellative semigroups Knaster Lipschitz reduction Mandelbrot set Generalized descriptive set theory projective Boolean algebra Weakly compact cardinal Large Cardinals Ostaszewski square Strongly compact cardinal Cardinal function indecomposable ultrafilter Singular cofinality super-Souslin tree Subtle tree property PFA(S)[S] square principles Universal Sequences very good scale Filter reflection O-space GMA Successor of Regular Cardinal Rainbow sets Generalized Clubs Hereditarily Lindelöf space Subtle cardinal Shelah's Strong Hypothesis Martin's Axiom P-Ideal Dichotomy Iterated forcing Hedetniemi's conjecture Axiom R club_AD ccc Square-Brackets Partition Relations Selective Ultrafilter Microscopic Approach free Souslin tree Rado's conjecture Sigma-Prikry Sakurai's Bell inequality OCA unbounded function Absoluteness stationary reflection weak Kurepa tree Open Access Ulam matrix xbox diamond star Diamond for trees Diamond-sharp Diamond Local Club Condensation. specializable Souslin tree coloring number Amenable C-sequence Souslin Tree Almost-disjoint family nonmeager set transformations Strongly Luzin set Rock n' Roll weak square square C-sequence HOD SNR Singular cardinals combinatorics Prevalent singular cardinals Vanishing levels ZFC construction L-space Uniformly homogeneous stick Postprocessing function 54G20 Ramsey theory over partitions stationary hitting Precaliber Luzin set Kurepa Hypothesis Forcing Well-behaved magma Fodor-type reflection Sierpinski's onto mapping principle Ascent Path Dowker space Foundations Partition Relations Closed coloring Antichain Almost countably chromatic Reflecting stationary set Small forcing Fat stationary set Respecting tree Was Ulam right Commutative projection system higher Baire space Almost Souslin Jonsson cardinal Non-saturation Slim tree Ineffable cardinal approachability ideal Chang's conjecture polarized partition relation Constructible Universe Erdos Cardinal Erdos-Hajnal graphs full tree Uniformly coherent Aronszajn tree Successor of Singular Cardinal Cohen real Whitehead Problem Club Guessing Distributive tree Coherent tree Dushnik-Miller weak diamond S-Space Greatly Mahlo countably metacompact AIM forcing incompactness reflection principles Countryman line Strong coloring
Tag Archives: Ascent Path
Ketonen’s question and other cardinal sins
Joint work with Zhixing You and Jiachen Yuan. Abstract. Intersection models of generic extensions obtained from a commutative projection systems of notions of forcing has recently regained interest, especially in the study of descriptive set theory. Here, we show that … Continue reading
Posted in Compactness, Preprints
Tagged 03E05, 03E35, 03E55, Ascent Path, C-sequence, Commutative projection system, indecomposable ultrafilter, Intersection model, Strongly compact cardinal
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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
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
