From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7559 Path: news.gmane.org!not-for-mail From: "Olivia Caramello" Newsgroups: gmane.science.mathematics.categories Subject: Preprint: "Topological Galois Theory" Date: Thu, 3 Jan 2013 20:05:14 +0100 Message-ID: Reply-To: "Olivia Caramello" NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1357264345 10071 80.91.229.3 (4 Jan 2013 01:52:25 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 4 Jan 2013 01:52:25 +0000 (UTC) To: Original-X-From: majordomo@mlist.mta.ca Fri Jan 04 02:52:42 2013 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp3.mta.ca ([138.73.1.32]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1TqwSc-0002Hs-Ip for gsmc-categories@m.gmane.org; Fri, 04 Jan 2013 02:52:38 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:56724) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1TqwMD-0006an-IO; Thu, 03 Jan 2013 21:46:01 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1TqwSI-00072h-He for categories-list@mlist.mta.ca; Thu, 03 Jan 2013 21:52:18 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7559 Archived-At: Dear All, The following preprint is available from the Mathematics ArXiv at the address http://arxiv.org/abs/1301.0300 : O. Caramello, "Topological Galois Theory" Abstract: We introduce an abstract topos-theoretic framework for building Galois-type theories in a variety of different mathematical contexts; such theories are obtained from representations of certain atomic two-valued toposes as toposes of continuous actions of a topological group. Our framework subsumes in particular Grothendieck's Galois theory and allows to build Galois-type equivalences in new contexts, such as for example graph theory and finite group theory. This work represents a concrete implementation of the abstract methodologies introduced in the paper "The unification of Mathematics via Topos Theory", which was advertised on this list two years ago. Other recent papers of mine applying the same general principles in other fields are available for download at the address http://www.oliviacaramello.com/Papers/Papers.htm . Best wishes for 2013, Olivia Caramello [For admin and other information see: http://www.mta.ca/~cat-dist/ ]