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