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

# 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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