Subject: Prolongation by zero (preprint)

From: categories <[email-masked]>
Date: Thu, 15 Feb 1996 11:13:46 -0400 (AST)

Date: Thu, 15 Feb 1996 14:26:36 +0100
From: Anders Kock <[email-masked]>

The preprint "Locally closed sublocales and prolongation by zero"
is available by anonymous ftp from
theory.doc.ic.ac.uk/papers/Kock
where it appears as the file: loc-clo.ps (it is about 150 kb).

Abstract: We prove that abelian group valued sheaves over a locally closed
sublocale admit prolongation by zero, and that the prolongation functor has
a right adjoint. The method is by left exact comonads; specifically, it
uses a version of Artin-Wraith glueing, where one has to put glue on _both_
the items to be glued.