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