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