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