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arxiv: 1810.05035 · v1 · pith:E2CVM566new · submitted 2018-10-09 · 🧮 math.LO

Fr\'echet cardinals

classification 🧮 math.LO
keywords echetcardinalscalledlambdaaxiomcardinalcompactcomplete
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An infinite cardinal $\lambda$ is called Fr\'echet if the Fr\'echet filter on $\lambda$ extends to a countably complete ultrafilter. We investigate the relationship between Fr\'echet cardinals and strongly compact cardinals under a hypothesis called the Ultrapower Axiom.

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