Injective power objects and the axiom of choice (Q712189)
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scientific article; zbMATH DE number 5807454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Injective power objects and the axiom of choice |
scientific article; zbMATH DE number 5807454 |
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Injective power objects and the axiom of choice (English)
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28 October 2010
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The author investigates the axiom of choice in a topos by interpreting the crucial term ``non-empty'' as being ``injective''. He shows among other things that if the axiom of choice holds in the category of sets, then it holds in a wide variety of topoi, including all localic topoi, and that the topos-version has several of the classical consequences of the axiom of choice.
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topos
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injective
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axiom of choice
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