21,643 research outputs found
Q-modules are Q-suplattices
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.Comment: 12 page
On sets of points with few odd secants
We prove that, for odd, a set of points in the projective plane
over the field with elements has at least odd secants, where is
a constant and an odd secant is a line incident with an odd number of points of
the set.Comment: Revised versio
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