Archives
Keywords
stationary hitting Interval topology on trees diamond star PFA(S)[S] Subadditive Precaliber Minimal Walks Sakurai's Bell inequality Antichain Singular cardinals combinatorics Amenable C-sequence stick Singular cofinality Coherent tree ZFC construction perfectly normal Ineffable cardinal Shelah's Strong Hypothesis SNR Diamond-sharp Martin's Axiom Hindman's Theorem Dowker space Constructible Universe specializable Souslin tree Respecting tree Uniformly coherent Entangled linear order countably metacompact Almost countably chromatic stationary reflection Rado's conjecture regressive Souslin tree weak diamond Universal Sequences Closed coloring Chang's conjecture indecomposable filter sap Sigma-Prikry incompactness Vanishing levels club_AD Erdos Cardinal Fast club 54G20 Cardinal function Filter reflection Reflecting stationary set square principles tensor product graph GMA Ostaszewski square Subnormal ideal Mandelbrot set P-Ideal Dichotomy polarized partition relation Ramsey theory over partitions Sierpinski's onto mapping principle O-space Reduced Power reflection principles ccc S-Space weak square Forcing positive partition relation Diamond for trees Partition Relations Small forcing Subtle cardinal Selective Ultrafilter transformations nonmeager set L-space Almost Souslin super-Souslin tree Knaster and friends Hereditarily Lindelöf space Strong coloring Diamond PFA Jonsson cardinal Ascent Path Large Cardinals Prikry-type forcing b-scale C-sequence Forcing with side conditions Analytic sets approachability ideal Generalized descriptive set theory Open Access Local Club Condensation. Luzin set HOD Fodor-type reflection Commutative projection system Absoluteness Kurepa Hypothesis Iterated forcing Axiom R Intersection model Rock n' Roll Poset Subtle tree property Countryman line Erdos-Hajnal graphs full tree Club Guessing Strongly Luzin set Fat stationary set coloring number Whitehead Problem Weakly compact cardinal free Souslin tree Aronszajn tree Nonspecial tree Uniformly homogeneous projective Boolean algebra free Boolean algebra Ulam matrix strongly bounded groups middle diamond Strongly compact cardinal Cardinal Invariants Cohen real very good scale Dushnik-Miller Greatly Mahlo Successor of Regular Cardinal Well-behaved magma Chromatic number Microscopic Approach Monotonically far Successor of Singular Cardinal Knaster Generalized Clubs square Uniformization higher Baire space Lipschitz reduction Ascending path Square-Brackets Partition Relations Rainbow sets OCA Forcing Axioms Souslin Tree Slim tree weak Kurepa tree Singular Density Commutative cancellative semigroups Foundations Prevalent singular cardinals Parameterized proxy principle Postprocessing function xbox Was Ulam right? Almost-disjoint family AIM forcing unbounded function Non-saturation Hedetniemi's conjecture Distributive tree
Tag Archives: stick
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
2 Comments
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 $f:A\rightarrow B$ is said to … Continue reading
