Sheaves on quantaloids |
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| Authors: | R. P. Gylys |
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| Affiliation: | (1) Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania |
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| Abstract: | We generalize the well-known notions of a singleton, completeQ-set, presheaf, and sheaf over a complete Heyting algebra or a right-sided idempotent quantale to arbitrary quantaloids. We show that every completeQ-set can be viewed as a sheaf and vice versa. Published in Lietuvos Matematikos Rinkinys, Vol. 40, No. 2, pp. 133–171, April–June, 2000. |
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| Keywords: | quantales quantaloids Q-sets bimodules singletons restrictable triplets presheaves maps of presheaves sheaves |
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