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Non-saturation SNR Almost-disjoint family Almost Souslin diamond star Jonsson cardinal Filter reflection Rock n' Roll Ramsey theory over partitions Subadditive projective Boolean algebra Local Club Condensation. higher Baire space Cardinal Invariants Coherent tree Minimal Walks Lipschitz reduction Respecting tree Reduced Power free Souslin tree Kurepa Hypothesis P-Ideal Dichotomy Open Access Fat stationary set Souslin Tree Chromatic number stationary hitting OCA Was Ulam right? Closed coloring Sakurai's Bell inequality Prikry-type forcing Precaliber Postprocessing function polarized partition relation Sierpinski's onto mapping principle Axiom R strongly bounded groups Commutative projection system ccc S-Space Forcing Erdos-Hajnal graphs middle diamond Fast club sap PFA Dowker space square Cardinal function Whitehead Problem Square-Brackets Partition Relations regressive Souslin tree weak square Generalized Clubs Fodor-type reflection Subtle tree property Large Cardinals Greatly Mahlo Weakly compact cardinal Foundations transformations Forcing Axioms incompactness Rainbow sets Ostaszewski square Strongly compact cardinal Successor of Singular Cardinal Iterated forcing Sigma-Prikry countably metacompact Club Guessing Well-behaved magma Selective Ultrafilter Distributive tree approachability ideal tensor product graph Mandelbrot set Uniformly coherent Singular cofinality Shelah's Strong Hypothesis xbox Ascending path stick Erdos Cardinal Chang's conjecture Subnormal ideal Monotonically far Ascent Path Ineffable cardinal Entangled linear order Knaster and friends Intersection model 54G20 Uniformly homogeneous Prevalent singular cardinals Universal Sequences super-Souslin tree AIM forcing Almost countably chromatic Dushnik-Miller O-space Martin's Axiom Constructible Universe specializable Souslin tree very good scale club_AD coloring number indecomposable filter GMA perfectly normal Poset Aronszajn tree Subtle cardinal Cohen real Hedetniemi's conjecture L-space Successor of Regular Cardinal unbounded function Strongly Luzin set Interval topology on trees Absoluteness Partition Relations Microscopic Approach Analytic sets full tree Ulam matrix Diamond for trees Parameterized proxy principle Small forcing weak Kurepa tree Rado's conjecture Forcing with side conditions Hereditarily Lindelöf space b-scale Nonspecial tree Amenable C-sequence Singular cardinals combinatorics Countryman line Antichain HOD Uniformization positive partition relation PFA(S)[S] Generalized descriptive set theory square principles Knaster Luzin set Diamond-sharp stationary reflection weak diamond Hindman's Theorem C-sequence nonmeager set Slim tree Strong coloring Singular Density Diamond ZFC construction Vanishing levels Commutative cancellative semigroups Reflecting stationary set free Boolean algebra reflection principles
Tag Archives: 54D20
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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