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