From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7938 Path: news.gmane.org!not-for-mail From: =?iso-8859-1?Q?Jean_B=E9nabou?= Newsgroups: gmane.science.mathematics.categories Subject: Re: preprint Date: Wed, 27 Nov 2013 09:40:28 +0100 Message-ID: References: <693EC422-09DE-4235-B6F5-94FC1283B55A@dima.unige.it> <454E0BEF-6277-435A-999D-DC4CC02B7170@wanadoo.fr> Reply-To: =?iso-8859-1?Q?Jean_B=E9nabou?= NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 (Apple Message framework v1283) Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: ger.gmane.org 1385646392 11917 80.91.229.3 (28 Nov 2013 13:46:32 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Thu, 28 Nov 2013 13:46:32 +0000 (UTC) Cc: categories@mta.ca To: Marco Grandis Original-X-From: majordomo@mlist.mta.ca Thu Nov 28 14:46:37 2013 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 1Vm1vQ-0008IE-Dr for gsmc-categories@m.gmane.org; Thu, 28 Nov 2013 14:46:36 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:59339) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1Vm1tk-0001ML-6r; Thu, 28 Nov 2013 09:44:52 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1Vm1ti-0007Hq-Pj for categories-list@mlist.mta.ca; Thu, 28 Nov 2013 09:44:50 -0400 In-Reply-To: Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7938 Archived-At: Dear Marco, Many thanks for your explanations, and of course for giving me the = possibility to study your book, which I shall do very soon. I have a notion which I hesitated to call directed category for fear of = a conflict in using the word directed. Your non technical use of this = word encourage me to use it, but I shall first read your book before I = make up my mind. Best regards, Jean Le 26 nov. 2013 =E0 11:11, Marco Grandis a =E9crit : > Dear Jean, >=20 > Presheaves on all finite ordinals are called augmented simplicial = sets. >=20 > As to 'directed space' I use now this term in a non-technical sense, > as referring to any topological structure suitable for directed > algebraic topology, like: >=20 > - preordered topological space, > - d-space, i.e. space with distinguished paths, > - c-space, i.e. space with distinguished cubes, > - etc. >=20 > See my book on 'Directed Algebraic Topology'. Thanks to Cambridge Un. > Press, it can be freely (and legally) downloaded from: >=20 > http://www.dima.unige.it/~grandis/BkDAT_page.html >=20 >=20 > (When I first used the term 'directed space', it was equivalent to d- > space; later I thought it was better to keep it for a more general > meaning.) >=20 > Best wishes Marco [For admin and other information see: http://www.mta.ca/~cat-dist/ ]