Archives
Keywords
diamond star Monotonically far projective Boolean algebra SNR Interval topology on trees super-Souslin tree very good scale Sakurai's Bell inequality Singular cofinality Was Ulam right? Filter reflection Martin's Axiom Club Guessing Erdos Cardinal Generalized descriptive set theory Entangled linear order Poset Ascent Path Uniformization Ulam matrix tensor product graph Coherent tree Local Club Condensation. Fat stationary set weak square Erdos-Hajnal graphs Subtle tree property Forcing with side conditions transformations Vanishing levels square principles Subtle cardinal approachability ideal countably metacompact Closed coloring Absoluteness Luzin set Knaster Selective Ultrafilter Jonsson cardinal Slim tree Singular Density Foundations regressive Souslin tree incompactness weak Kurepa tree full tree polarized partition relation Rock n' Roll strongly bounded groups sap Strongly compact cardinal Souslin Tree Intersection model Analytic sets perfectly normal free Souslin tree Subnormal ideal Mandelbrot set Non-saturation Forcing Axioms nonmeager set Strongly Luzin set free Boolean algebra Prevalent singular cardinals Strong coloring b-scale positive partition relation Almost-disjoint family Prikry-type forcing higher Baire space Sierpinski's onto mapping principle C-sequence Hedetniemi's conjecture stick Hereditarily Lindelöf space Ramsey theory over partitions 54G20 Cohen real Successor of Regular Cardinal Partition relations for trees Almost countably chromatic ccc Diamond for trees Reduced Power Rainbow sets Commutative cancellative semigroups Commutative projection system Fodor-type reflection OCA Parameterized proxy principle AIM forcing Uniformly homogeneous Shelah's Strong Hypothesis Dowker space Almost Souslin Open Access Rado's conjecture unbounded function Amenable C-sequence weak diamond Singular cardinals combinatorics Antichain P-Ideal Dichotomy Chang's conjecture Uniformly coherent PFA Greatly Mahlo Hindman's Theorem Fast club Countryman line Ascending path Chromatic number S-Space middle diamond reflection principles Kurepa Hypothesis Subadditive PFA(S)[S] Generalized Clubs Microscopic Approach Diamond Postprocessing function L-space Ostaszewski square Partition Relations club_AD Sigma-Prikry Large Cardinals Cardinal Invariants xbox coloring number Constructible Universe Square-Brackets Partition Relations Respecting tree stationary reflection Whitehead Problem Universal Sequences stationary hitting Small forcing indecomposable filter O-space Ineffable cardinal specializable Souslin tree Well-behaved magma ZFC construction Minimal Walks Aronszajn tree Nonspecial tree Successor of Singular Cardinal Weakly compact cardinal Diamond-sharp Axiom R Forcing Distributive tree Lipschitz reduction Knaster and friends Reflecting stationary set Dushnik-Miller Precaliber Cardinal function GMA Iterated forcing square HOD
Tag Archives: L-space
Syndetic colorings with applications to S and L
Notation. Write $\mathcal Q(A):=\{ a\subseteq A\mid a\text{ is finite}, a\neq\emptyset\}$. Definition. An L-space is a regular hereditarily Lindelöf topological space which is not hereditarily separable. Definition. We say that a coloring $c:[\omega_1]^2\rightarrow\omega$ is L-syndetic if the following holds. For every uncountable … Continue reading