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