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Erdos-Hajnal graphs middle diamond Diamond Nonspecial tree Dowker space club_AD unbounded function free Souslin tree positive partition relation Almost-disjoint family Singular cofinality Hedetniemi's conjecture Hindman's Theorem Open Access tensor product graph stationary hitting Successor of Singular Cardinal Almost countably chromatic weak Kurepa tree b-scale Poset Successor of Regular Cardinal regressive Souslin tree HOD P-Ideal Dichotomy Dushnik-Miller polarized partition relation Fodor-type reflection transformations Diamond-sharp Subnormal ideal Forcing AIM forcing Generalized Clubs Ramsey theory over partitions very good scale Rado's conjecture super-Souslin tree Prikry-type forcing free Boolean algebra Cohen real strongly bounded groups Filter reflection countably metacompact approachability ideal Partition Relations Ascent Path Whitehead Problem stationary reflection L-space Foundations Luzin set Generalized descriptive set theory Large Cardinals Minimal Walks perfectly normal Almost Souslin Kurepa Hypothesis reflection principles Precaliber Forcing Axioms GMA Postprocessing function Ascending path Reflecting stationary set 54G20 Cardinal Invariants SNR specializable Souslin tree higher Baire space Uniformly homogeneous Strongly compact cardinal Antichain Well-behaved magma C-sequence Selective Ultrafilter diamond star Monotonically far Countryman line xbox Iterated forcing Jonsson cardinal Fat stationary set Greatly Mahlo Square-Brackets Partition Relations Uniformly coherent Small forcing Vanishing levels Axiom R ccc Slim tree indecomposable filter sap Chromatic number Chang's conjecture Subadditive Lipschitz reduction Erdos Cardinal Coherent tree Subtle tree property Interval topology on trees Entangled linear order Knaster Uniformization Commutative projection system Closed coloring Reduced Power Singular Density Commutative cancellative semigroups Distributive tree OCA Cardinal function Parameterized proxy principle Sierpinski's onto mapping principle square principles Amenable C-sequence Absoluteness nonmeager set Sigma-Prikry Club Guessing weak square Singular cardinals combinatorics Hereditarily Lindelöf space Knaster and friends Martin's Axiom O-space Ulam matrix Intersection model PFA Universal Sequences Respecting tree coloring number PFA(S)[S] Aronszajn tree Weakly compact cardinal stick Diamond for trees Souslin Tree Mandelbrot set Ineffable cardinal Fast club Local Club Condensation. Shelah's Strong Hypothesis Strongly Luzin set Constructible Universe Rock n' Roll square Analytic sets Subtle cardinal S-Space weak diamond incompactness Strong coloring Non-saturation projective Boolean algebra Prevalent singular cardinals Sakurai's Bell inequality Forcing with side conditions Microscopic Approach ZFC construction Was Ulam right? Ostaszewski square Rainbow sets full tree
Tag Archives: 54D15
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 Preprints, 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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