From: Jonas Eliasson <jonase@math.uu.se>
To: categories@mta.ca
Subject: Tree cover?
Date: Mon, 1 Sep 2003 10:30:01 +0200 (CEST) [thread overview]
Message-ID: <Pine.LNX.4.44.0309011029250.23133-100000@sidonie.math.uu.se> (raw)
It seems that you can modify the construction of the localic Diaconescu
cover to get an open surjective _filtered_ cover of a Grothendieck topos
Sh(C).
Instead of using the category String(C) of strings in C, you could
construct the category Tree(C) of finite, rooted, binary trees in C. If
given c and d in C you can find e such that e --> c and e --> d then
Tree(C) is a poset with binary upper bounds, i.e. a filtered category.
Could anyone provide a reference for such a construction?
Grateful for any help,
Jonas Eliasson
------------------------------------------
| Jonas Eliasson |
| Department of Mathematics |
| Uppsala University |
| Sweden |
| E-mail: jonase@math.uu.se |
| Homepage: http://www.math.uu.se/~jonase/ |
------------------------------------------
reply other threads:[~2003-09-01 8:30 UTC|newest]
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