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