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

# 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 Publications, Topology
Tagged 03E04, 03E65, 54G15, Shelah's Strong Hypothesis
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