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