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A Borel solution to the Horn-Tarski problem. (English) Zbl 1299.03055

Summary: We describe a Borel poset satisfying the \(\sigma\)-finite chain condition but failing to satisfy the \(\sigma\)-bounded chain condition.

MSC:

03E05 Other combinatorial set theory
03E20 Other classical set theory (including functions, relations, and set algebra)
06E10 Chain conditions, complete algebras
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References:

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