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PFA(S)[S] Diamond for trees Club Guessing Chang's conjecture Small forcing C-sequence weak Kurepa tree reflection principles Sigma-Prikry Singular cardinals combinatorics Hedetniemi's conjecture Chromatic number coloring number Diamond free Boolean algebra polarized partition relation Cohen real ccc Rado's conjecture positive partition relation Large Cardinals Countryman line Iterated forcing Ineffable cardinal Ramsey theory over partitions xbox Well-behaved magma Mandelbrot set square principles full tree Souslin Tree Open Access Fast club countably metacompact Forcing Luzin set Commutative cancellative semigroups Monotonically far Slim tree Vanishing levels Singular Density Antichain Erdos Cardinal Forcing with side conditions very good scale Ostaszewski square Absoluteness S-Space Jonsson cardinal Ulam matrix Intersection model approachability ideal Dushnik-Miller square higher Baire space incompactness club_AD Almost countably chromatic transformations Almost-disjoint family projective Boolean algebra Strongly Luzin set Knaster and friends OCA Generalized descriptive set theory Interval topology on trees Uniformly homogeneous P-Ideal Dichotomy Hereditarily Lindelöf space Coherent tree Uniformly coherent GMA Whitehead Problem Successor of Singular Cardinal Microscopic Approach Subtle cardinal Ascent Path Poset Greatly Mahlo super-Souslin tree Lipschitz reduction Minimal Walks Aronszajn tree perfectly normal Selective Ultrafilter Forcing Axioms Strong coloring Universal Sequences weak square Subtle tree property 54G20 Erdos-Hajnal graphs strongly bounded groups Partition relations for trees Martin's Axiom Entangled linear order Ascending path Non-saturation Square-Brackets Partition Relations b-scale Local Club Condensation. regressive Souslin tree Distributive tree Rock n' Roll Cardinal Invariants Fat stationary set sap Rainbow sets PFA ZFC construction O-space Subadditive specializable Souslin tree Almost Souslin Cardinal function Subnormal ideal stationary hitting Was Ulam right? tensor product graph unbounded function Weakly compact cardinal stationary reflection Axiom R Shelah's Strong Hypothesis Reflecting stationary set Foundations Parameterized proxy principle Prevalent singular cardinals middle diamond HOD weak diamond Filter reflection Uniformization Hindman's Theorem free Souslin tree Strongly compact cardinal Amenable C-sequence Commutative projection system Partition Relations AIM forcing Analytic sets L-space Respecting tree Reduced Power SNR Generalized Clubs Sierpinski's onto mapping principle Kurepa Hypothesis Nonspecial tree nonmeager set Singular cofinality Prikry-type forcing diamond star Sakurai's Bell inequality stick Fodor-type reflection Precaliber Successor of Regular Cardinal Diamond-sharp Postprocessing function Closed coloring Dowker space Knaster Constructible Universe indecomposable filter
Tag Archives: 54D20
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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