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arxiv: 0709.2436 · v1 · submitted 2007-09-15 · 🧮 math.LO

A Note on Singular Cardinals in Set Theory Without Choice

classification 🧮 math.LO
keywords cardinalschoiceresultssingularabsenceaxiomcertainconsistency
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We discuss how singular can cardinals be in absence of the axiom of choice. We show that, contrasting with known negative consistency results (of Gitik and others), certain positive results are provable. Then we pose some problems.

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