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Ultrasheaves and Double Negation
Notre Dame Journal of Formal Logic 45 (4):235-245 (2004)
Abstract
Moerdijk has introduced a topos of sheaves on a category of filters. Following his suggestion, we prove that its double negation subtopos is the topos of sheaves on the subcategory of ultrafilters - the ultrasheaves. We then use this result to establish a double negation translation of results between the topos of ultrasheaves and the topos on filtersAuthor's Profile
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Citations of this work
Saturated models of intuitionistic theories.Carsten Butz - 2004 - Annals of Pure and Applied Logic 129 (1-3):245-275.
The strength of countable saturation.Benno van den Berg, Eyvind Briseid & Pavol Safarik - 2017 - Archive for Mathematical Logic 56 (5-6):699-711.
References found in this work
A model for intuitionistic non-standard arithmetic.Ieke Moerdijk - 1995 - Annals of Pure and Applied Logic 73 (1):37-51.
Developments in constructive nonstandard analysis.Erik Palmgren - 1998 - Bulletin of Symbolic Logic 4 (3):233-272.
Minimal models of Heyting arithmetic.Ieke Moerdijk & Erik Palmgren - 1997 - Journal of Symbolic Logic 62 (4):1448-1460.
Minimal models of Heyting arithmetic.Ieke Moerdijk & Erik Palmgren - 1997 - Journal of Symbolic Logic 62 (4):1448-1460.
Sheaves of structures and generalized ultraproducts.David P. Ellerman - 1974 - Annals of Mathematical Logic 7 (2):163.
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