Archives
Keywords
Reflecting stationary set Successor of Singular Cardinal specializable Souslin tree Strongly compact cardinal Cohen real Singular cardinals combinatorics 54G20 approachability ideal Jonsson cardinal positive partition relation Iterated forcing Was Ulam right? higher Baire space b-scale Hedetniemi's conjecture Uniformly homogeneous Open Access Whitehead Problem Club Guessing Respecting tree Forcing Rainbow sets Chang's conjecture Strong coloring Kurepa Hypothesis ZFC construction S-Space Fat stationary set Commutative projection system Subtle cardinal Forcing Axioms Minimal Walks unbounded function OCA Constructible Universe Forcing with side conditions Postprocessing function Weakly compact cardinal Luzin set Cardinal function Dushnik-Miller very good scale strongly bounded groups Erdos-Hajnal graphs Microscopic Approach Uniformization Vanishing levels Square-Brackets Partition Relations Nonspecial tree square nonmeager set Souslin Tree Almost Souslin regressive Souslin tree xbox Sigma-Prikry ccc Singular Density AIM forcing Local Club Condensation. O-space HOD incompactness Martin's Axiom super-Souslin tree Erdos Cardinal Small forcing free Boolean algebra diamond star Well-behaved magma Almost-disjoint family Hindman's Theorem Cardinal Invariants Successor of Regular Cardinal Precaliber indecomposable filter Aronszajn tree Large Cardinals coloring number reflection principles weak Kurepa tree Almost countably chromatic P-Ideal Dichotomy PFA(S)[S] Filter reflection Antichain square principles Ramsey theory over partitions Sakurai's Bell inequality weak square Ineffable cardinal Shelah's Strong Hypothesis tensor product graph Sierpinski's onto mapping principle Rado's conjecture Greatly Mahlo Foundations Commutative cancellative semigroups Ostaszewski square Singular cofinality perfectly normal Ascent Path Chromatic number Intersection model Monotonically far Diamond Mandelbrot set transformations Closed coloring Non-saturation Partition Relations Ulam matrix Entangled linear order projective Boolean algebra full tree PFA SNR stationary hitting Strongly Luzin set Fodor-type reflection Fast club Knaster Generalized Clubs Ascending path Interval topology on trees Countryman line Amenable C-sequence Analytic sets free Souslin tree Reduced Power Poset Universal Sequences Parameterized proxy principle C-sequence Subtle tree property Knaster and friends stick sap Hereditarily Lindelöf space middle diamond Uniformly coherent Prevalent singular cardinals Axiom R polarized partition relation weak diamond L-space Diamond for trees countably metacompact Coherent tree Prikry-type forcing Distributive tree Absoluteness stationary reflection GMA Subnormal ideal Generalized descriptive set theory Rock n' Roll Slim tree Subadditive club_AD Selective Ultrafilter Diamond-sharp Lipschitz reduction Dowker space
Tag Archives: 54G20
A counterexample related to a theorem of Komjáth and Weiss
Joint work with Rodrigo Rey Carvalho. Abstract. In a paper from 1987, Komjath and Weiss proved that for every regular topological space $X$ of character less than $\mathfrak b$, if $X\rightarrow(\text{top }{\omega+1})^1_\omega$, then $X\rightarrow(\text{top }{\alpha})^1_\omega$ for all $\alpha<\omega_1$. In addition, … Continue reading
Posted in Partition Relations, Preprints, Topology
Tagged 03E02, 54G20, Open Access, Prikry-type forcing, ZFC construction
Comments Off on A counterexample related to a theorem of Komjáth and Weiss
