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