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