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