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Strongly Luzin set regressive Souslin tree SNR Diamond-sharp Uniformly coherent Postprocessing function Generalized descriptive set theory weak Kurepa tree AIM forcing Almost countably chromatic Sakurai's Bell inequality O-space Subadditive Mandelbrot set Closed coloring square principles weak square Reduced Power incompactness Chang's conjecture Well-behaved magma strongly bounded groups GMA Analytic sets Sierpinski's onto mapping principle Dowker space Forcing Axiom R free Boolean algebra Ineffable cardinal Rock n' Roll indecomposable filter Non-saturation Erdos Cardinal C-sequence Weakly compact cardinal Kurepa Hypothesis ccc Hedetniemi's conjecture Fodor-type reflection free Souslin tree very good scale Shelah's Strong Hypothesis Constructible Universe Nonspecial tree Aronszajn tree Poset stationary reflection Knaster club_AD Antichain Prikry-type forcing ZFC construction Successor of Regular Cardinal Universal Sequences tensor product graph middle diamond super-Souslin tree Commutative projection system Ramsey theory over partitions Ascent Path Ostaszewski square Generalized Clubs OCA Cardinal Invariants Singular cardinals combinatorics b-scale P-Ideal Dichotomy weak diamond Absoluteness Lipschitz reduction Microscopic Approach Whitehead Problem Foundations Sigma-Prikry higher Baire space Chromatic number Commutative cancellative semigroups Rado's conjecture Souslin Tree Subtle tree property S-Space Erdos-Hajnal graphs Slim tree Selective Ultrafilter Iterated forcing approachability ideal projective Boolean algebra Was Ulam right? Amenable C-sequence specializable Souslin tree Dushnik-Miller Hereditarily Lindelöf space Large Cardinals Subtle cardinal Countryman line Cohen real Local Club Condensation. Club Guessing Minimal Walks diamond star Fast club nonmeager set Jonsson cardinal transformations Square-Brackets Partition Relations Almost-disjoint family 54G20 positive partition relation Fat stationary set Uniformly homogeneous Successor of Singular Cardinal Knaster and friends Forcing Axioms stationary hitting L-space Coherent tree Diamond for trees Singular Density HOD xbox PFA countably metacompact Parameterized proxy principle Intersection model Prevalent singular cardinals unbounded function stick Filter reflection Martin's Axiom Singular cofinality Strongly compact cardinal Vanishing levels Subnormal ideal Luzin set PFA(S)[S] Uniformization sap Ulam matrix Almost Souslin Diamond Precaliber full tree Small forcing reflection principles Strong coloring square Partition Relations Respecting tree Distributive tree Open Access Reflecting stationary set polarized partition relation Rainbow sets coloring number Hindman's Theorem Cardinal function Greatly Mahlo
Tag Archives: stick
A new small Dowker space
Joint work with Roy Shalev and Stevo Todorcevic. Abstract. It is proved that if there exists a Luzin set, or if either the stick principle or
Strongest transformations
Joint work with Jing Zhang. Abstract. We continue our study of maps transforming high-dimensional complicated objects into squares of stationary sets. Previously, we proved that many such transformations exist in ZFC, and here we address the consistency of the strongest … Continue reading
Posted in Partition Relations, Publications
Tagged Diamond, Minimal Walks, square, Square-Brackets Partition Relations, stick, transformations, xbox
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Polychromatic colorings
These are lectures notes of two talks Dani Livne gave in our Infinite Combinatorics seminar. I did not take notes in real-time, hence, all possible mistakes here are due to myself. Recall that a function
