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weak diamond Souslin Tree Strongly compact cardinal Generalized Clubs Ascent Path Shelah's Strong Hypothesis Martin's Axiom Square-Brackets Partition Relations Lipschitz reduction C-sequence Non-saturation Subtle tree property Singular cofinality Almost-disjoint family Minimal Walks Foundations Strongly Luzin set free Souslin tree Singular cardinals combinatorics stationary reflection Uniformly homogeneous Universal Sequences Knaster and friends polarized partition relation Cardinal function approachability ideal Sakurai's Bell inequality Fast club weak Kurepa tree Countryman line Subtle cardinal Diamond Erdos-Hajnal graphs Precaliber Reflecting stationary set Nonspecial tree weak square Ostaszewski square Knaster Absoluteness specializable Souslin tree Rainbow sets reflection principles diamond star Erdos Cardinal Entangled linear order countably metacompact Was Ulam right? Ramsey theory over partitions Small forcing Rock n' Roll incompactness GMA Successor of Regular Cardinal Axiom R Successor of Singular Cardinal L-space Monotonically far Distributive tree Ineffable cardinal stationary hitting Coherent tree Rado's conjecture Iterated forcing Forcing Axioms Constructible Universe Postprocessing function Reduced Power Hindman's Theorem Almost Souslin Kurepa Hypothesis ZFC construction projective Boolean algebra Forcing with side conditions PFA(S)[S] Diamond-sharp Chromatic number stick Hereditarily Lindelöf space Analytic sets Aronszajn tree Sigma-Prikry Poset Sierpinski's onto mapping principle xbox Intersection model coloring number Vanishing levels unbounded function Singular Density Chang's conjecture Greatly Mahlo Filter reflection 54G20 Amenable C-sequence Subnormal ideal Almost countably chromatic Whitehead Problem Closed coloring Dowker space super-Souslin tree square Weakly compact cardinal Interval topology on trees HOD Large Cardinals Mandelbrot set positive partition relation Commutative cancellative semigroups Partition Relations sap higher Baire space Uniformly coherent Diamond for trees Commutative projection system Fodor-type reflection Prevalent singular cardinals free Boolean algebra Local Club Condensation. Selective Ultrafilter Cardinal Invariants nonmeager set full tree OCA club_AD Uniformization Open Access Ascending path O-space S-Space Luzin set Jonsson cardinal middle diamond transformations ccc Ulam matrix Partition relations for trees Parameterized proxy principle Fat stationary set Antichain indecomposable filter Club Guessing SNR P-Ideal Dichotomy AIM forcing tensor product graph Prikry-type forcing Strong coloring Dushnik-Miller regressive Souslin tree PFA strongly bounded groups Well-behaved magma Microscopic Approach Subadditive b-scale Hedetniemi's conjecture very good scale Forcing Cohen real perfectly normal Respecting tree Generalized descriptive set theory square principles Slim tree
Tag Archives: countably metacompact
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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1 Comment
Diamond on ladder systems and countably metacompact topological spaces
Joint work with Rodrigo Rey Carvalho and Tanmay Inamdar. Abstract. Leiderman and Szeptycki proved that a single Cohen real introduces a ladder system $L$ over $\aleph_1$ for which the space $X_L$ is not a $\Delta$-space. They asked whether there is … Continue reading →
Posted in Preprints, Topology
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Tagged 03E05, 54G20, C-sequence, countably metacompact, Diamond, middle diamond, Open Access, weak diamond, ZFC construction
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3 Comments
A new small Dowker space
Joint work with Roy Shalev and Stevo Todorcevic. Abstract. It is proved that if there exists a Luzin set, or if either the stick principle or $\diamondsuit(\mathfrak b)$ hold, then an instance of the guessing principle $\clubsuit_{AD}$ holds at the … Continue reading →
Posted in Squares and Diamonds, Topology
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Tagged club_AD, countably metacompact, Dowker space, Luzin set, stick
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1 Comment
A guessing principle from a Souslin tree, with applications to topology
Joint work with Roy Shalev. Abstract. We introduce a new combinatorial principle which we call $\clubsuit_{AD}$. This principle asserts the existence of a certain multi-ladder system with guessing and almost-disjointness features, and is shown to be sufficient for carrying out … Continue reading →
Posted in Publications, Souslin Hypothesis, Topology
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Tagged club_AD, countably metacompact, Dowker space, O-space, regressive Souslin tree, S-Space, Souslin Tree, Vanishing levels
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2 Comments
