A note on ultraproducts of complete Boolean algebras (Q762520)
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scientific article; zbMATH DE number 3889605
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on ultraproducts of complete Boolean algebras |
scientific article; zbMATH DE number 3889605 |
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A note on ultraproducts of complete Boolean algebras (English)
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1985
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In J. Pure Appl. Algebra 32, 11-20 (1984; Zbl 0539.13003), the author asserted that ultraproducts of Boolean algebras, whose cardinalities are approaching the first measurable cardinal k, over an index set of cardinality at least k, are necessarily incomplete. This note presents an example demonstrating that the assertion is false, and that such an ultraproduct algebra can be complete.
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ultraproducts of Boolean algebras
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measurable cardinal
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