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