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Rado's conjecture stationary hitting Sakurai's Bell inequality Souslin Tree Luzin set Erdos-Hajnal graphs Club Guessing square principles Cardinal Invariants Subnormal ideal Cardinal function b-scale middle diamond Uniformization Ineffable cardinal ccc indecomposable filter approachability ideal Subtle tree property Countryman line incompactness Successor of Regular Cardinal transformations Prikry-type forcing Parameterized proxy principle Ulam matrix Aronszajn tree Uniformly coherent Vanishing levels square Microscopic Approach Local Club Condensation. Axiom R PFA xbox ZFC construction OCA Almost countably chromatic Ostaszewski square full tree higher Baire space PFA(S)[S] weak diamond tensor product graph Fast club SNR perfectly normal Rock n' Roll countably metacompact Strong coloring Interval topology on trees Dushnik-Miller Constructible Universe Reduced Power weak Kurepa tree Distributive tree Almost Souslin Postprocessing function Commutative cancellative semigroups Forcing with side conditions nonmeager set Amenable C-sequence free Boolean algebra Diamond for trees Dowker space Analytic sets Fodor-type reflection Whitehead Problem Ramsey theory over partitions regressive Souslin tree Martin's Axiom Closed coloring specializable Souslin tree Chang's conjecture Generalized descriptive set theory Strongly compact cardinal Well-behaved magma Partition Relations Minimal Walks sap Diamond-sharp Small forcing Foundations Almost-disjoint family Subadditive positive partition relation Poset Greatly Mahlo Iterated forcing Slim tree Jonsson cardinal Commutative projection system GMA AIM forcing Singular cardinals combinatorics Hedetniemi's conjecture Universal Sequences Selective Ultrafilter Erdos Cardinal Nonspecial tree reflection principles Square-Brackets Partition Relations Prevalent singular cardinals Was Ulam right? very good scale Rainbow sets S-Space Fat stationary set super-Souslin tree Successor of Singular Cardinal Entangled linear order Cohen real Sierpinski's onto mapping principle Ascent Path club_AD projective Boolean algebra stationary reflection O-space Knaster and friends Subtle cardinal coloring number Antichain Reflecting stationary set Hindman's Theorem HOD Singular cofinality Diamond stick C-sequence P-Ideal Dichotomy Partition relations for trees Shelah's Strong Hypothesis Respecting tree Ascending path Large Cardinals strongly bounded groups Forcing L-space free Souslin tree weak square diamond star Weakly compact cardinal Generalized Clubs Coherent tree Knaster Precaliber Uniformly homogeneous Hereditarily Lindelöf space Monotonically far 54G20 polarized partition relation Kurepa Hypothesis unbounded function Lipschitz reduction Forcing Axioms Absoluteness Sigma-Prikry Filter reflection Intersection model Non-saturation Chromatic number Singular Density Mandelbrot set Open Access Strongly Luzin set
Tag Archives: perfectly normal
The power of trees
Joint work with Ari Meir Brodsky and Shira Yadai. Abstract. We give two consistent constructions of trees $T$ whose finite power $T^{n+1}$ is sharply different from $T^n$: An $\aleph_1$-tree $T$ whose interval topology $X_T$ is perfectly normal, but $(X_T)^2$ is … Continue reading →
Posted in Publications, Topology
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Tagged 03E35, 54B10, 54D15, 54D20, 54F05, Almost Souslin, countably metacompact, diamond star, Interval topology on trees, Nonspecial tree, Parameterized proxy principle, perfectly normal
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