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