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Reduced Power ccc b-scale Prikry-type forcing Kurepa Hypothesis Rado's conjecture Hedetniemi's conjecture weak square Minimal Walks Almost-disjoint famiy Forcing Aronszajn tree square Slim tree Successor of Regular Cardinal Souslin Tree Foundations Coherent tree L-space Generalized Clubs Large Cardinals xbox 05A17 Shelah's Strong Hypothesis 05D10 Almost countably chromatic Forcing Axioms Non-saturation Partition Relations Antichain Cohen real Chromatic number stationary hitting Jonsson cardinal Singular cardinals combinatorics Singular Density Club Guessing Uniformization Diamond Microscopic Approach Fat stationary set Ascent Path Cardinal Invariants Prevalent singular cardinals Sakurai's Bell inequality Fodor-type reflection Cardinal function Hindman's Theorem Universal Sequences 11P99 Rock n' Roll 20M14 stationary reflection free Boolean algebra coloring number incompactness S-Space Axiom R reflection principles Uniformly coherent OCA Fast club Parameterized proxy principle tensor product graph approachability ideal middle diamond Knaster Stevo Todorcevic Postprocessing function Small forcing Successor of Singular Cardinal square principles sap PFA Dushnik-Miller Constructible Universe Singular coﬁnality Whitehead Problem Poset Square-Brackets Partition Relations P-Ideal Dichotomy Distributive tree very good scale Commutative cancellative semigroups Ostaszewski square Mandelbrot set Almost Souslin polarized partition relation Chang's conjecture Selective Ultrafilter Rainbow sets Nonspecial tree projective Boolean algebra Absoluteness Hereditarily Lindelöf space Martin's Axiom Weakly compact cardinal PFA(S)[S] weak diamond Erdos-Hajnal graphs HOD Erdos Cardinal diamond star

# 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, Shelah's Strong Hypothesis
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