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arxiv: 1201.1713 · v2 · pith:YS2PJYOMnew · submitted 2012-01-09 · 🧮 math.LO

The ultrafilter number for singular cardinals

classification 🧮 math.LO
keywords lambdanumbersingularultrafiltervaluearbitrarilycardinalcardinals
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We prove the consistency of a singular cardinal $\lambda$ with small value of the ultrafilter number $u_\lambda$, and arbitrarily large value of $2^\lambda$.

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