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L-space Strong coloring Weakly compact cardinal very good scale Countryman line Mandelbrot set Rock n' Roll Uniformly homogeneous Open Access sap Diamond for trees AIM forcing Vanishing levels Entangled linear order Universal Sequences Lipschitz reduction Axiom R Diamond-sharp O-space Hindman's Theorem Non-saturation Distributive tree stationary hitting weak square approachability ideal Partition relations for trees stationary reflection Jonsson cardinal strongly bounded groups Aronszajn tree positive partition relation P-Ideal Dichotomy Diamond transformations Rainbow sets polarized partition relation unbounded function tensor product graph middle diamond Poset Commutative projection system super-Souslin tree Interval topology on trees ZFC construction Parameterized proxy principle Constructible Universe club_AD ccc Kurepa Hypothesis Singular cofinality Ramsey theory over partitions Well-behaved magma Singular cardinals combinatorics 54G20 Ineffable cardinal Successor of Singular Cardinal Successor of Regular Cardinal Souslin Tree Commutative cancellative semigroups Partition Relations Square-Brackets Partition Relations Forcing Axioms free Boolean algebra Amenable C-sequence Closed coloring incompactness Uniformization Coherent tree Local Club Condensation. Subtle tree property Cardinal Invariants Reflecting stationary set specializable Souslin tree PFA Uniformly coherent square Forcing PFA(S)[S] Filter reflection Knaster Intersection model weak diamond Forcing with side conditions SNR Was Ulam right? Subnormal ideal Antichain weak Kurepa tree stick free Souslin tree nonmeager set Whitehead Problem Nonspecial tree Generalized Clubs Martin's Axiom Almost countably chromatic Erdos-Hajnal graphs Greatly Mahlo Cohen real square principles Postprocessing function b-scale perfectly normal Precaliber coloring number regressive Souslin tree Singular Density Fodor-type reflection projective Boolean algebra Analytic sets Prikry-type forcing Minimal Walks OCA Chang's conjecture Ascending path Small forcing Strongly Luzin set GMA C-sequence Microscopic Approach Respecting tree indecomposable filter Foundations Chromatic number Almost-disjoint family Generalized descriptive set theory Erdos Cardinal Hedetniemi's conjecture Shelah's Strong Hypothesis Strongly compact cardinal Dowker space Almost Souslin Knaster and friends Ostaszewski square Cardinal function Ascent Path Absoluteness Rado's conjecture Sierpinski's onto mapping principle Hereditarily Lindelöf space countably metacompact Club Guessing Large Cardinals Selective Ultrafilter Sakurai's Bell inequality full tree xbox Iterated forcing Sigma-Prikry Luzin set HOD diamond star Subadditive Subtle cardinal Fat stationary set Slim tree Dushnik-Miller reflection principles Reduced Power Prevalent singular cardinals Ulam matrix Fast club higher Baire space Monotonically far S-Space
Tag Archives: 54D15
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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