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Knaster Luzin set b-scale Singular Density L-space Diamond Fat stationary set HOD stationary reflection Ineffable cardinal Erdos-Hajnal graphs Rock n' Roll weak Kurepa tree stationary hitting Prikry-type forcing Minimal Walks Amenable C-sequence Slim tree Open Access Interval topology on trees positive partition relation Constructible Universe Axiom R indecomposable filter weak diamond Parameterized proxy principle PFA(S)[S] Whitehead Problem Shelah's Strong Hypothesis Erdos Cardinal Strongly compact cardinal Singular cardinals combinatorics Chang's conjecture Subnormal ideal countably metacompact Cohen real full tree Analytic sets Partition relations for trees Knaster and friends Club Guessing S-Space Greatly Mahlo Filter reflection incompactness approachability ideal Uniformization Respecting tree Aronszajn tree Subadditive Was Ulam right? Diamond-sharp Generalized descriptive set theory Kurepa Hypothesis Ascending path Sierpinski's onto mapping principle Fodor-type reflection Dushnik-Miller weak square Local Club Condensation. Selective Ultrafilter transformations GMA Countryman line Sigma-Prikry Non-saturation middle diamond tensor product graph square SNR Mandelbrot set higher Baire space Hereditarily Lindelöf space Ulam matrix Chromatic number unbounded function Lipschitz reduction Universal Sequences Large Cardinals Partition Relations PFA diamond star Almost-disjoint family Square-Brackets Partition Relations very good scale Generalized Clubs super-Souslin tree projective Boolean algebra Vanishing levels Entangled linear order Sakurai's Bell inequality Reduced Power Subtle cardinal Subtle tree property OCA C-sequence Almost Souslin stick sap O-space Dowker space Well-behaved magma Microscopic Approach nonmeager set Commutative projection system Postprocessing function Strong coloring Intersection model Martin's Axiom strongly bounded groups Successor of Regular Cardinal Commutative cancellative semigroups Absoluteness Antichain free Souslin tree square principles Forcing Axioms P-Ideal Dichotomy Closed coloring Strongly Luzin set Forcing with side conditions Weakly compact cardinal Monotonically far Jonsson cardinal Cardinal Invariants Iterated forcing xbox Cardinal function Fast club Nonspecial tree reflection principles Successor of Singular Cardinal free Boolean algebra Prevalent singular cardinals Diamond for trees Uniformly homogeneous Ramsey theory over partitions club_AD polarized partition relation ZFC construction regressive Souslin tree Almost countably chromatic Ostaszewski square Foundations Precaliber coloring number Distributive tree Small forcing Forcing Ascent Path Singular cofinality Hedetniemi's conjecture Rainbow sets AIM forcing Souslin Tree Coherent tree ccc 54G20 Uniformly coherent Reflecting stationary set perfectly normal Hindman's Theorem specializable Souslin tree Poset Rado's conjecture
Tag Archives: 54F05
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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