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Fodor-type reflection PFA Universal Sequences Respecting tree Parameterized proxy principle Lipschitz reduction nonmeager set Strongly compact cardinal Subtle cardinal Forcing Axioms Constructible Universe Martin's Axiom Successor of Singular Cardinal HOD diamond star Fat stationary set Sigma-Prikry AIM forcing Ineffable cardinal free Boolean algebra Foundations xbox Kurepa Hypothesis Prevalent singular cardinals Greatly Mahlo countably metacompact Large Cardinals PFA(S)[S] Absoluteness Cardinal Invariants Cohen real regressive Souslin tree Non-saturation weak square C-sequence Amenable C-sequence Singular Density Rock n' Roll Partition Relations Antichain Aronszajn tree GMA Countryman line Mandelbrot set Hereditarily Lindelöf space Analytic sets Almost Souslin Diamond-sharp approachability ideal Selective Ultrafilter Strong coloring Minimal Walks Jonsson cardinal Subtle tree property SNR Sakurai's Bell inequality Precaliber free Souslin tree weak diamond sap Iterated forcing Uniformly homogeneous stick stationary hitting Almost countably chromatic 54G20 Whitehead Problem Slim tree P-Ideal Dichotomy Subnormal ideal L-space square principles stationary reflection middle diamond Weakly compact cardinal Reduced Power coloring number Club Guessing Knaster and friends OCA Diamond for trees Singular cardinals combinatorics Generalized descriptive set theory Luzin set Axiom R Rado's conjecture strongly bounded groups reflection principles Chromatic number Prikry-type forcing Forcing Fast club Subadditive Commutative cancellative semigroups Chang's conjecture weak Kurepa tree Nonspecial tree super-Souslin tree square Well-behaved magma Hedetniemi's conjecture higher Baire space ccc ZFC construction Hindman's Theorem Erdos-Hajnal graphs unbounded function Intersection model Cardinal function Generalized Clubs Rainbow sets Diamond O-space Commutative projection system Open Access club_AD full tree indecomposable ultrafilter Dushnik-Miller Square-Brackets Partition Relations Sierpinski's onto mapping principle Erdos Cardinal Uniformly coherent Poset Souslin Tree very good scale Ramsey theory over partitions Successor of Regular Cardinal Coherent tree transformations positive partition relation incompactness tensor product graph Strongly Luzin set b-scale Ascent Path Dowker space polarized partition relation Shelah's Strong Hypothesis Ulam matrix specializable Souslin tree Small forcing Knaster S-Space Distributive tree Reflecting stationary set Vanishing levels Closed coloring Ostaszewski square Microscopic Approach Almost-disjoint family Postprocessing function projective Boolean algebra Local Club Condensation. Filter reflection Singular cofinality Uniformization Was Ulam right?
Tag Archives: Square-Brackets Partition Relations
Dushnik-Miller for regular cardinals (part 2)
In this post, we shall provide a proof of Todorcevic’s theorem, that
Posted in Blog, Expository
Tagged b-scale, Dushnik-Miller, Partition Relations, Square-Brackets Partition Relations
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CMS Winter Meeting, December 2011
I gave an invited special session talk at the 2011 meeting of the Canadian Mathematical Society. Talk Title: The extent of the failure of Ramsey’s theorem at successor cardinals. Abstract: We shall discuss the results of the following papers: Transforming … Continue reading
Posted in Invited Talks
Tagged Square-Brackets Partition Relations
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Transforming rectangles into squares, with applications to strong colorings
Abstract: It is proved that every singular cardinal
