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