Archives
Keywords
ZFC construction Mandelbrot set Reflecting stationary set Knaster and friends L-space Microscopic Approach Generalized Clubs Fast club weak diamond Sierpinski's onto mapping principle Ulam matrix Almost-disjoint family stationary hitting Fodor-type reflection Poset unbounded function Subnormal ideal super-Souslin tree Precaliber higher Baire space Non-saturation Subtle cardinal Strong coloring Rainbow sets P-Ideal Dichotomy Strongly Luzin set Square-Brackets Partition Relations HOD reflection principles Countryman line PFA(S)[S] Iterated forcing Shelah's Strong Hypothesis specializable Souslin tree Absoluteness Aronszajn tree Hedetniemi's conjecture Cohen real indecomposable filter Erdos-Hajnal graphs Strongly compact cardinal Foundations Rock n' Roll Hindman's Theorem Diamond for trees Closed coloring Parameterized proxy principle Hereditarily Lindelöf space Uniformly homogeneous PFA coloring number Forcing Greatly Mahlo Vanishing levels projective Boolean algebra Knaster Commutative projection system Luzin set Monotonically far Cardinal Invariants Ostaszewski square C-sequence AIM forcing Partition Relations full tree S-Space Analytic sets Nonspecial tree free Souslin tree Prikry-type forcing Kurepa Hypothesis nonmeager set regressive Souslin tree free Boolean algebra Reduced Power Antichain Intersection model Club Guessing Local Club Condensation. Subtle tree property countably metacompact Large Cardinals stationary reflection positive partition relation Open Access Well-behaved magma Coherent tree Small forcing polarized partition relation Rado's conjecture Ineffable cardinal GMA club_AD SNR Was Ulam right? Ascent Path xbox OCA transformations Filter reflection Almost Souslin incompactness Postprocessing function Slim tree Uniformly coherent stick Generalized descriptive set theory Prevalent singular cardinals Cardinal function Jonsson cardinal approachability ideal Constructible Universe Forcing Axioms Weakly compact cardinal Commutative cancellative semigroups square principles Respecting tree Entangled linear order Souslin Tree Universal Sequences Fat stationary set Successor of Regular Cardinal tensor product graph Diamond-sharp b-scale Selective Ultrafilter Singular Density Diamond Dushnik-Miller Successor of Singular Cardinal 54G20 Erdos Cardinal Ascending path Singular cofinality Lipschitz reduction Sakurai's Bell inequality Singular cardinals combinatorics Chang's conjecture weak square ccc very good scale Whitehead Problem diamond star Subadditive Axiom R Chromatic number Almost countably chromatic Amenable C-sequence sap Martin's Axiom O-space middle diamond weak Kurepa tree Ramsey theory over partitions Sigma-Prikry Distributive tree Minimal Walks perfectly normal Dowker space Forcing with side conditions square strongly bounded groups Interval topology on trees Uniformization
Tag Archives: 54G15
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 $\mathbb X$ is an (infinite) first-countable space whose density is a regular cardinal, $\kappa$. If every separable subspace of $\mathbb X$ is of cardinality at most … Continue reading
Posted in Compactness, Publications, Topology
Tagged 03E04, 03E65, 54G15, Open Access, Shelah's Strong Hypothesis
Comments Off on A topological reflection principle equivalent to Shelah’s strong hypothesis
