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Q-modules are Q-suplattices | | Isar Stubbe
; | | Date: |
25 Sep 2008 | | Abstract: | It is well known that the internal suplattices in the topos of sheaves on a
locale are precisely the modules on that locale. Using enriched category theory
and a lemma on KZ doctrines we prove (the generalization of) this fact in the
case of ordered sheaves on a small quantaloid. Comparing module-equivalence
with sheaf-equivalence for quantaloids and using the notion of centre of a
quantaloid, we refine a result of F. Borceux and E. Vitale. | | Source: | arXiv, 0809.4343 | | Services: | Forum | Review | PDF | Favorites | |
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