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