Ultrasheaves and double negation (Q558435)
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scientific article; zbMATH DE number 2186747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ultrasheaves and double negation |
scientific article; zbMATH DE number 2186747 |
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Ultrasheaves and double negation (English)
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6 July 2005
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Starting with the topos of sheaves Sh(F) on a category of filters introduced by Moerdijk, the authors show that its double negation subtopos is the topos Sh(U) of sheaves on the category of ultrafilters. The result is used to transfer the truth of formulas via the double negation translation from Sh(U) to Sh(F).
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ultrapower
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sheaf theory
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double negation subtopos
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