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