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