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Open Access C-sequence Coherent tree Entangled linear order Selective Ultrafilter approachability ideal diamond star Uniformization AIM forcing very good scale xbox Subnormal ideal Iterated forcing Ineffable cardinal Subtle cardinal Slim tree Almost Souslin Fodor-type reflection Parameterized proxy principle super-Souslin tree Successor of Singular Cardinal sap Whitehead Problem Uniformly coherent Diamond Weakly compact cardinal P-Ideal Dichotomy Dowker space regressive Souslin tree Souslin Tree Commutative cancellative semigroups PFA Ascending path Sigma-Prikry Sakurai's Bell inequality Erdos Cardinal HOD Chromatic number weak diamond polarized partition relation Almost-disjoint family Club Guessing Forcing with side conditions stick Absoluteness Monotonically far L-space Generalized descriptive set theory Prevalent singular cardinals Forcing Universal Sequences Intersection model Respecting tree Diamond for trees projective Boolean algebra Vanishing levels Cardinal Invariants Postprocessing function higher Baire space Local Club Condensation. Successor of Regular Cardinal stationary hitting Fast club Knaster Singular Density Hedetniemi's conjecture Distributive tree Axiom R Amenable C-sequence Countryman line Mandelbrot set club_AD coloring number Chang's conjecture Erdos-Hajnal graphs Cohen real Singular cardinals combinatorics PFA(S)[S] Partition relations for trees Strongly compact cardinal Almost countably chromatic stationary reflection full tree reflection principles Subadditive b-scale Poset Large Cardinals Cardinal function countably metacompact Well-behaved magma strongly bounded groups free Boolean algebra Generalized Clubs SNR Prikry-type forcing Lipschitz reduction Rado's conjecture Shelah's Strong Hypothesis specializable Souslin tree Rock n' Roll indecomposable filter incompactness middle diamond unbounded function Small forcing Forcing Axioms Diamond-sharp Kurepa Hypothesis Partition Relations Foundations Sierpinski's onto mapping principle O-space Antichain S-Space Uniformly homogeneous weak Kurepa tree Reduced Power Rainbow sets Ostaszewski square Square-Brackets Partition Relations Strongly Luzin set Ramsey theory over partitions Subtle tree property Commutative projection system Aronszajn tree Closed coloring Jonsson cardinal square principles Nonspecial tree perfectly normal Non-saturation Interval topology on trees Hereditarily Lindelöf space 54G20 nonmeager set transformations Fat stationary set Greatly Mahlo ccc Filter reflection Microscopic Approach Martin's Axiom Ulam matrix GMA Was Ulam right? Knaster and friends OCA Hindman's Theorem Constructible Universe Ascent Path square Minimal Walks Precaliber positive partition relation weak square Reflecting stationary set Strong coloring Luzin set tensor product graph free Souslin tree Dushnik-Miller Singular cofinality Analytic sets ZFC construction
Tag Archives: 54B10
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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