From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/4464 Path: news.gmane.org!not-for-mail From: "Townsend, Christopher" Newsgroups: gmane.science.mathematics.categories Subject: Paper on slice stability in Locale Theory Date: Thu, 31 Jul 2008 09:09:12 +0100 Message-ID: NNTP-Posting-Host: main.gmane.org Content-Type: text/plain; charset="us-ascii" Content-Transfer-Encoding: quoted-printable X-Trace: ger.gmane.org 1241019963 13422 80.91.229.2 (29 Apr 2009 15:46:03 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:46:03 +0000 (UTC) To: Original-X-From: rrosebru@mta.ca Tue Aug 5 22:05:24 2008 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Tue, 05 Aug 2008 22:05:24 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1KQXSl-0001OP-TM for categories-list@mta.ca; Tue, 05 Aug 2008 22:05:15 -0300 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 31 Original-Lines: 40 Xref: news.gmane.org gmane.science.mathematics.categories:4464 Archived-At: I was sorry not to be at the Calais meeting the other week and had hoped to have the paper=20 =20 Aspects of slice stability in Locale Theory =20 http://www.christophertownsend.org/Documents/SliceStability_v30.pdf =20 ready for it.=20 =20 This paper proves that a particular axiomatic approach to locale theory is slice stable and then uses this slice stability to prove some known locale theory/topos theory results. All the results are known (aside from a conjecture on localic subgroupoids) so it is really an investigation into this particular axiomatisation rather than a presentation of new results.=20 It gives what I think is a novel proof of the well known slice stability result: Loc/Y =3D Loc_Sh(Y).=20 =20 Feedback is welcome. For example, I have always attributed the result Loc/Y =3D Loc_Sh(Y) to Joyal and Tierney. Am I right?=20 =20 Regards, Christopher=20 =20