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nonmeager set Forcing Distributive tree Iterated forcing Ineffable cardinal Subnormal ideal Selective Ultrafilter indecomposable filter stationary hitting Almost Souslin Was Ulam right? Rock n' Roll Greatly Mahlo coloring number Kurepa Hypothesis Mandelbrot set Lipschitz reduction Hedetniemi's conjecture Singular cofinality Prikry-type forcing Successor of Regular Cardinal Singular Density Minimal Walks Cardinal function Knaster and friends super-Souslin tree countably metacompact Entangled linear order club_AD transformations GMA strongly bounded groups Intersection model Hereditarily Lindelöf space ccc HOD Axiom R Ostaszewski square C-sequence Vanishing levels projective Boolean algebra Strongly Luzin set Constructible Universe Amenable C-sequence Chang's conjecture unbounded function Respecting tree Sakurai's Bell inequality Knaster Filter reflection Diamond for trees Local Club Condensation. Non-saturation Cohen real AIM forcing Sigma-Prikry Reduced Power Large Cardinals 54G20 Diamond full tree Forcing with side conditions Open Access incompactness Uniformly homogeneous Absoluteness Prevalent singular cardinals Antichain Analytic sets Interval topology on trees regressive Souslin tree weak Kurepa tree Rado's conjecture Singular cardinals combinatorics Foundations Almost-disjoint family stationary reflection Well-behaved magma Chromatic number Postprocessing function specializable Souslin tree positive partition relation Martin's Axiom O-space Poset square principles Erdos-Hajnal graphs L-space Subtle cardinal xbox Partition Relations Ramsey theory over partitions Strong coloring Subadditive Generalized Clubs free Boolean algebra Fodor-type reflection Souslin Tree Uniformly coherent Club Guessing S-Space Slim tree Ascent Path reflection principles Partition relations for trees Square-Brackets Partition Relations very good scale Nonspecial tree Aronszajn tree square Weakly compact cardinal tensor product graph Dushnik-Miller Almost countably chromatic Parameterized proxy principle Rainbow sets PFA(S)[S] Ascending path OCA Strongly compact cardinal Ulam matrix Small forcing Commutative projection system P-Ideal Dichotomy Universal Sequences Monotonically far Microscopic Approach Dowker space diamond star Precaliber weak diamond Fast club polarized partition relation sap Successor of Singular Cardinal Fat stationary set Coherent tree Forcing Axioms higher Baire space Countryman line Shelah's Strong Hypothesis PFA ZFC construction Whitehead Problem Cardinal Invariants Jonsson cardinal Commutative cancellative semigroups Generalized descriptive set theory Closed coloring Diamond-sharp Erdos Cardinal weak square perfectly normal Luzin set Subtle tree property Reflecting stationary set approachability ideal Uniformization free Souslin tree SNR middle diamond Hindman's Theorem Sierpinski's onto mapping principle b-scale stick
Tag Archives: 54A25
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 $\aleph_{\omega_1}$ is not hereditarily Lindelöf. The assumption … Continue reading
