From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/8115 Path: news.gmane.org!not-for-mail From: Richard Garner Newsgroups: gmane.science.mathematics.categories Subject: Re: Descent for fibred monads Date: Fri, 16 May 2014 07:09:35 +1000 Message-ID: Reply-To: Richard Garner NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1400206420 13140 80.91.229.3 (16 May 2014 02:13:40 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 16 May 2014 02:13:40 +0000 (UTC) To: Categories list Original-X-From: majordomo@mlist.mta.ca Fri May 16 04:13:34 2014 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp3.mta.ca ([138.73.1.186]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1Wl7eP-0006LG-Av for gsmc-categories@m.gmane.org; Fri, 16 May 2014 04:13:33 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:58806) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1Wl7dz-0002oV-U7; Thu, 15 May 2014 23:13:07 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1Wl7dz-0005ZD-Ov for categories-list@mlist.mta.ca; Thu, 15 May 2014 23:13:07 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:8115 Archived-At: Actually > In the same situation, take T to be the monad for free vector spaces E > ---pi_0---> S ---Fv---> S ---Delta---> E induced by the free vector > space monad Fv on S. Then T-algebra descent data over U --->> 1 is a > vector bundle split by U; so such objects are equally algebras for the > monad (A--->U) |----> (Delta Fv pi_0 A) x U ---> U This bit is clear rubbish. But the rest of my question remains. Richard [For admin and other information see: http://www.mta.ca/~cat-dist/ ]