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54G20 Poset Diamond-sharp stationary hitting Ineffable cardinal Distributive tree Square-Brackets Partition Relations Subtle cardinal Chromatic number Antichain Small forcing Constructible Universe Singular cofinality Precaliber stationary reflection Kurepa Hypothesis Universal Sequences Weakly compact cardinal Erdos-Hajnal graphs O-space Well-behaved magma Subtle tree property Cardinal Invariants diamond star square Ascending path incompactness Subnormal ideal countably metacompact AIM forcing Non-saturation Luzin set Knaster Knaster and friends Hereditarily Lindelöf space Successor of Regular Cardinal Subadditive Postprocessing function sap PFA Vanishing levels Strongly Luzin set Strong coloring Uniformization Almost-disjoint family Fodor-type reflection Sierpinski's onto mapping principle C-sequence Prevalent singular cardinals Uniformly coherent Fast club Singular Density Rado's conjecture Analytic sets Open Access nonmeager set Local Club Condensation. Iterated forcing super-Souslin tree Rock n' Roll Jonsson cardinal Generalized descriptive set theory weak square Dowker space GMA HOD strongly bounded groups Hindman's Theorem Coherent tree Strongly compact cardinal S-Space very good scale Interval topology on trees indecomposable filter square principles unbounded function Uniformly homogeneous coloring number Almost countably chromatic free Boolean algebra Ulam matrix Axiom R Respecting tree transformations Martin's Axiom Partition relations for trees xbox Entangled linear order Partition Relations Amenable C-sequence Forcing Axioms Commutative projection system Cohen real reflection principles middle diamond Erdos Cardinal Diamond for trees ZFC construction Singular cardinals combinatorics Souslin Tree Aronszajn tree Minimal Walks b-scale Closed coloring tensor product graph Forcing with side conditions Fat stationary set Greatly Mahlo Monotonically far Generalized Clubs approachability ideal OCA Prikry-type forcing regressive Souslin tree Slim tree Dushnik-Miller Shelah's Strong Hypothesis Filter reflection Was Ulam right? specializable Souslin tree SNR Chang's conjecture free Souslin tree Countryman line club_AD positive partition relation Almost Souslin P-Ideal Dichotomy Club Guessing Selective Ultrafilter Sigma-Prikry Diamond Hedetniemi's conjecture weak Kurepa tree Mandelbrot set Ramsey theory over partitions Reduced Power projective Boolean algebra Cardinal function Absoluteness Intersection model weak diamond L-space Ostaszewski square Sakurai's Bell inequality Lipschitz reduction stick polarized partition relation Microscopic Approach PFA(S)[S] Commutative cancellative semigroups Large Cardinals Ascent Path Rainbow sets Reflecting stationary set Parameterized proxy principle Whitehead Problem Nonspecial tree perfectly normal Forcing ccc Foundations full tree higher Baire space Successor of Singular Cardinal
Author Archives: Assaf Rinot
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
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Tagged Square-Brackets Partition Relations
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Young Researchers in Set Theory, March 2011
These are the slides of a talk I gave at the Young Researchers in Set Theory 2011 meeting (Königswinter, 21–25 March 2011). Talk Title: Around Jensen’s square principle Abstract: Jensen‘s square principle for a cardinal $\lambda$ asserts the existence of a particular ladder … Continue reading
The 11th International Workshop on Set Theory in Luminy
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ESI Workshop on Large Cardinals and Descriptive Set Theory
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Singular Cardinal Combinatorics and Inner Model Theory, March 2007
These are the slides of a talk given at the Singular Cardinal Combinatorics and Inner Model Theory conference (Gainesville, 5–9 March 2007). Talk Title: Antichains in partially ordered sets of singular cofinality Abstract: We say that a singular cardinal $\lambda$ is a prevalent singular … Continue reading
Workshop on Set Theory and its Applications, February 2007
These are the slides of a talk given at the Workshop on Set Theory and its Applications workshop (Weizmann Institute, February 19, 2007). Talk Title: Nets of spaces having singular density Abstract: The weight of a topological space X is the … Continue reading
Annual conference of the IMU, May 2006
This talk was given at the 2006 Annual Conference of the Israel Mathematical Union (Neve Ilan, 25-26 May 2006). Talk Title: The Milner-Sauer conjecture and covering numbers Abstract: In their paper from 1981, after learning about Pouzet‘s theorem that any poset of singular cofinality mush contain … Continue reading
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