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