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Lipschitz reduction Partition Relations Generalized descriptive set theory SNR Selective Ultrafilter Club Guessing Dowker space Martin's Axiom Was Ulam right? Local Club Condensation. Reflecting stationary set Successor of Regular Cardinal Prevalent singular cardinals Chromatic number Subnormal ideal Hereditarily Lindelöf space indecomposable ultrafilter Constructible Universe Weakly compact cardinal HOD stationary hitting Subtle cardinal Uniformly coherent Strongly compact cardinal reflection principles approachability ideal Microscopic Approach sap tensor product graph Minimal Walks unbounded function P-Ideal Dichotomy Jonsson cardinal Fat stationary set coloring number Countryman line Coherent tree C-sequence ZFC construction Singular Density Small forcing Non-saturation super-Souslin tree Parameterized proxy principle Diamond Mandelbrot set 54G20 Ineffable cardinal middle diamond regressive Souslin tree Absoluteness Erdos-Hajnal graphs Diamond for trees Iterated forcing PFA L-space b-scale Forcing Axioms Aronszajn tree Ostaszewski square Subadditive Poset Kurepa Hypothesis Uniformization Rado's conjecture Successor of Singular Cardinal full tree Almost-disjoint family Singular cardinals combinatorics Ramsey theory over partitions weak Kurepa tree Generalized Clubs stick Fodor-type reflection club_AD Almost Souslin Singular cofinality Vanishing levels Commutative cancellative semigroups Postprocessing function Large Cardinals Universal Sequences Strongly Luzin set polarized partition relation Nonspecial tree GMA Distributive tree Sigma-Prikry PFA(S)[S] Axiom R weak square Filter reflection Respecting tree Foundations Slim tree Almost countably chromatic Reduced Power higher Baire space Square-Brackets Partition Relations positive partition relation Precaliber Ulam matrix Luzin set square principles Forcing O-space transformations Sierpinski's onto mapping principle Intersection model free Souslin tree Knaster specializable Souslin tree Hindman's Theorem Dushnik-Miller Cardinal Invariants Greatly Mahlo Closed coloring Chang's conjecture free Boolean algebra Hedetniemi's conjecture Analytic sets strongly bounded groups Amenable C-sequence xbox Rock n' Roll Diamond-sharp diamond star very good scale stationary reflection incompactness nonmeager set Fast club Cardinal function Well-behaved magma Sakurai's Bell inequality Uniformly homogeneous S-Space Ascent Path ccc AIM forcing weak diamond OCA Strong coloring Shelah's Strong Hypothesis Subtle tree property Souslin Tree Commutative projection system Knaster and friends Rainbow sets Whitehead Problem countably metacompact Antichain square projective Boolean algebra Prikry-type forcing Erdos Cardinal Open Access Cohen real
Category Archives: Topology
A counterexample related to a theorem of Komjáth and Weiss
Joint work with Rodrigo Rey Carvalho. Abstract. In a paper from 1987, Komjath and Weiss proved that for every regular topological space
Posted in Partition Relations, Preprints, Topology
Tagged 03E02, 54G20, Prikry-type forcing, ZFC construction
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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
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
Posted in Publications, Souslin Hypothesis, Topology
Tagged club_AD, Dowker space, O-space, regressive Souslin tree, S-Space, Souslin Tree, Vanishing levels
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On topological spaces of singular density and minimal weight
Abstract: We introduce a weakening of the Generalized Continuum Hypothesis, which we will refer to as the Prevalent Singular cardinals Hypothesis (PSH), and show it implies that every topological space of density and weight
A topological reflection principle equivalent to Shelah’s strong hypothesis
Abstract: We notice that Shelah’s Strong Hypothesis (SSH) is equivalent to the following reflection principle: Suppose
Posted in Compactness, Publications, Topology
Tagged 03E04, 03E65, 54G15, Open Access, Shelah's Strong Hypothesis
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