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Analytic sets Prevalent singular cardinals Strong coloring Reflecting stationary set Jonsson cardinal Filter reflection Subtle tree property square Fast club Universal Sequences P-Ideal Dichotomy Respecting tree Square-Brackets Partition Relations Mandelbrot set Non-saturation Chang's conjecture Well-behaved magma diamond star Kurepa Hypothesis projective Boolean algebra Constructible Universe stick higher Baire space 54G20 Partition Relations Almost Souslin Greatly Mahlo Uniformly homogeneous Sierpinski's onto mapping principle tensor product graph Commutative cancellative semigroups Subtle cardinal GMA Uniformly coherent Foundations Diamond for trees Strongly Luzin set weak Kurepa tree Slim tree Generalized descriptive set theory Uniformization specializable Souslin tree Rainbow sets Countryman line Fodor-type reflection Postprocessing function Microscopic Approach Successor of Singular Cardinal transformations C-sequence Reduced Power Fat stationary set Hindman's Theorem regressive Souslin tree Club Guessing Shelah's Strong Hypothesis Prikry-type forcing Subnormal ideal Ramsey theory over partitions Absoluteness L-space Cohen real weak square Almost-disjoint family Ascending path Whitehead Problem S-Space strongly bounded groups sap perfectly normal Weakly compact cardinal Singular cardinals combinatorics Local Club Condensation. Souslin Tree Selective Ultrafilter Lipschitz reduction HOD Interval topology on trees xbox Iterated forcing coloring number Almost countably chromatic positive partition relation b-scale Sakurai's Bell inequality PFA(S)[S] Nonspecial tree Successor of Regular Cardinal Small forcing square principles Rado's conjecture weak diamond indecomposable filter Martin's Axiom Distributive tree very good scale free Boolean algebra Poset Minimal Walks AIM forcing countably metacompact Precaliber Forcing Singular Density PFA reflection principles Hedetniemi's conjecture Open Access Monotonically far Aronszajn tree OCA super-Souslin tree Ascent Path Was Ulam right? Ulam matrix Hereditarily Lindelöf space Luzin set O-space Erdos-Hajnal graphs nonmeager set full tree Intersection model Rock n' Roll polarized partition relation Ostaszewski square middle diamond Cardinal function Closed coloring Dushnik-Miller Generalized Clubs Antichain Subadditive stationary reflection Knaster and friends Singular cofinality Forcing with side conditions stationary hitting Coherent tree club_AD Erdos Cardinal free Souslin tree Chromatic number Diamond-sharp unbounded function Ineffable cardinal Knaster Axiom R ZFC construction Sigma-Prikry ccc incompactness Forcing Axioms Entangled linear order Parameterized proxy principle SNR Dowker space Large Cardinals Cardinal Invariants Diamond Amenable C-sequence Vanishing levels approachability ideal Strongly compact cardinal Commutative projection system
Tag Archives: 54B10
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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