From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/5320 Path: news.gmane.org!not-for-mail From: Marco Grandis Newsgroups: gmane.science.mathematics.categories Subject: Homotopy spectral sequences Date: Wed, 2 Dec 2009 13:14:01 +0100 Message-ID: Reply-To: Marco Grandis NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 (Apple Message framework v752.2) Content-Type: text/plain; charset=US-ASCII; delsp=yes; format=flowed Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1259799273 2602 80.91.229.12 (3 Dec 2009 00:14:33 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Thu, 3 Dec 2009 00:14:33 +0000 (UTC) To: categories@mta.ca Original-X-From: categories@mta.ca Thu Dec 03 01:14:26 2009 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from mailserv.mta.ca ([138.73.1.1]) by lo.gmane.org with esmtp (Exim 4.50) id 1NFzKx-0000TW-R8 for gsmc-categories@m.gmane.org; Thu, 03 Dec 2009 01:14:24 +0100 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1NFymE-0006ZJ-Uc for categories-list@mta.ca; Wed, 02 Dec 2009 19:38:31 -0400 Original-Sender: categories@mta.ca Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:5320 Archived-At: The following preprint is available. It is about my talk at Cape Town, CT2009. Best regards Marco Grandis ------- M. Grandis, Homotopy spectral sequences, Dip. Mat. Univ. Genova, Preprint 570 (2009). http://www.dima.unige.it/~grandis/HtSp.pdf Abstract. In homotopy theory, exact sequences and spectral sequences consist of groups and pointed sets, linked by actions. We prove that the theory of such exact and spectral sequences can be established in a categorical setting which is based on the existence of kernels and cokernels with respect to an assigned ideal of null morphisms, a generalisation of abelian categories and Puppe-exact categories. [For admin and other information see: http://www.mta.ca/~cat-dist/ ]