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