From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6889 Path: news.gmane.org!not-for-mail From: William Messing Newsgroups: gmane.science.mathematics.categories Subject: Re: Simplicial groups are Kan Date: Tue, 13 Sep 2011 09:22:11 -0500 Message-ID: References: Reply-To: William Messing 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 1315963032 16844 80.91.229.12 (14 Sep 2011 01:17:12 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Wed, 14 Sep 2011 01:17:12 +0000 (UTC) Cc: Michael Barr , Categories list , To: Peter May Original-X-From: majordomo@mlist.mta.ca Wed Sep 14 03:17:08 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 1R3e67-0002gC-7t for gsmc-categories@m.gmane.org; Wed, 14 Sep 2011 03:17:07 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:36872) by smtpy.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1R3e4v-0006pH-42; Tue, 13 Sep 2011 22:15:53 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1R3czJ-0007yT-QH for categories-list@mlist.mta.ca; Tue, 13 Sep 2011 21:06:01 -0300 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6889 Archived-At: John Moore did in fact publish his proof that simplicial groups are Kan. It is stated as Theorem 3.4 in his paper Semi-Simplicial Complexes And Postnikov Systems (page 242 of the book, Symposium International De Topologia Algebraica, 1956 conference, book published in 1958). Moore refers to the Seminaire Cartan, 1954-55, expose XVIII, where the proof is given in full as Theorem 3 on page 18-04. Bill Messing [For admin and other information see: http://www.mta.ca/~cat-dist/ ]