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