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