From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6879 Path: news.gmane.org!not-for-mail From: Peter May Newsgroups: gmane.science.mathematics.categories Subject: Re: Simplicial groups are Kan Date: Sun, 11 Sep 2011 21:29:35 -0500 Message-ID: References: Reply-To: Peter May NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: 7bit X-Trace: dough.gmane.org 1315874844 5326 80.91.229.12 (13 Sep 2011 00:47:24 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Tue, 13 Sep 2011 00:47:24 +0000 (UTC) Cc: Categories list To: Michael Barr Original-X-From: majordomo@mlist.mta.ca Tue Sep 13 02:47:16 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpy.mta.ca ([138.73.1.128]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1R3H9g-0007d5-Ew for gsmc-categories@m.gmane.org; Tue, 13 Sep 2011 02:47:16 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:55162) by smtpy.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1R3H83-0007XD-KZ; Mon, 12 Sep 2011 21:45:35 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1R3H83-0003e0-04 for categories-list@mlist.mta.ca; Mon, 12 Sep 2011 21:45:35 -0300 User-Agent: Mozilla/5.0 (Macintosh; Intel Mac OS X 10.5; rv:6.0.2) Gecko/20110902 Thunderbird/6.0.2 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6879 Archived-At: The theorem is due to John Moore, but as far as I remember he never published his proof. It appeared in mimeographed notes entitled ``Seminar on algebraic homotopy theory'', Princeton, 1956. The result is Theorem 17.1 in my 1967 book ``Simplicial objects in algebraic topology'', and the argument there is based on Moore's notes (Moore was my adviser). On 9/11/11 7:30 PM, Michael Barr wrote: > I know that is a theorem, due I think to John Moore. Can anyone give > me a > pointer to the original article. > > Michael > > > [For admin and other information see: http://www.mta.ca/~cat-dist/ ] [For admin and other information see: http://www.mta.ca/~cat-dist/ ]