Archives
Keywords
Analytic sets Rock n' Roll Local Club Condensation. Foundations Absoluteness PFA(S)[S] Kurepa Hypothesis HOD Antichain weak Kurepa tree Reduced Power indecomposable filter regressive Souslin tree C-sequence tensor product graph incompactness Dushnik-Miller Parameterized proxy principle Amenable C-sequence Strongly Luzin set Commutative projection system club_AD S-Space Fat stationary set Ramsey theory over partitions Universal Sequences Iterated forcing Dowker space Ascending path Singular Density weak square sap Microscopic Approach Fast club GMA Commutative cancellative semigroups higher Baire space Square-Brackets Partition Relations middle diamond Axiom R Rainbow sets Rado's conjecture Large Cardinals OCA stick Small forcing Fodor-type reflection P-Ideal Dichotomy Souslin Tree Subtle tree property O-space Weakly compact cardinal super-Souslin tree AIM forcing unbounded function approachability ideal Filter reflection stationary hitting Was Ulam right? Respecting tree Hereditarily Lindelöf space Whitehead Problem Poset Martin's Axiom SNR Cardinal Invariants weak diamond Chang's conjecture Uniformly homogeneous Forcing Axioms b-scale Slim tree Diamond Chromatic number Shelah's Strong Hypothesis Nonspecial tree Luzin set Prevalent singular cardinals Hedetniemi's conjecture very good scale Almost-disjoint family Ascent Path Open Access Interval topology on trees Strong coloring diamond star Erdos Cardinal Constructible Universe Entangled linear order Aronszajn tree Club Guessing PFA square principles Generalized descriptive set theory polarized partition relation Strongly compact cardinal Minimal Walks Erdos-Hajnal graphs ccc Coherent tree Hindman's Theorem ZFC construction Non-saturation Countryman line Subadditive Singular cofinality Successor of Singular Cardinal Diamond for trees Ulam matrix Knaster and friends projective Boolean algebra Knaster Intersection model free Boolean algebra Successor of Regular Cardinal xbox strongly bounded groups Well-behaved magma Jonsson cardinal Reflecting stationary set Generalized Clubs Lipschitz reduction Ineffable cardinal Selective Ultrafilter Prikry-type forcing Sakurai's Bell inequality specializable Souslin tree Sierpinski's onto mapping principle perfectly normal Uniformization Partition relations for trees Mandelbrot set Monotonically far countably metacompact square Greatly Mahlo Subtle cardinal transformations Uniformly coherent free Souslin tree 54G20 Singular cardinals combinatorics reflection principles Cohen real Subnormal ideal Precaliber full tree Postprocessing function positive partition relation Diamond-sharp nonmeager set Distributive tree Forcing coloring number stationary reflection Partition Relations Closed coloring Vanishing levels Almost Souslin Forcing with side conditions Almost countably chromatic Ostaszewski square Cardinal function Sigma-Prikry L-space
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
|
Tagged 03E35, 54B10, 54D15, 54D20, 54F05, Almost Souslin, countably metacompact, diamond star, Interval topology on trees, Nonspecial tree, Parameterized proxy principle, perfectly normal
|
1 Comment
