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