From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/9084 Path: news.gmane.org!.POSTED!not-for-mail From: Marco Grandis Newsgroups: gmane.science.mathematics.categories Subject: A preprint on multiple categories Date: Tue, 24 Jan 2017 09:48:10 +0100 Message-ID: Reply-To: Marco Grandis NNTP-Posting-Host: blaine.gmane.org Mime-Version: 1.0 (Apple Message framework v753.1) Content-Type: text/plain; charset=ISO-8859-1; delsp=yes; format=flowed Content-Transfer-Encoding: quoted-printable X-Trace: blaine.gmane.org 1485291277 20033 195.159.176.226 (24 Jan 2017 20:54:37 GMT) X-Complaints-To: usenet@blaine.gmane.org NNTP-Posting-Date: Tue, 24 Jan 2017 20:54:37 +0000 (UTC) To: categories@mta.ca Original-X-From: majordomo@mlist.mta.ca Tue Jan 24 21:54:33 2017 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp2.mta.ca ([198.164.44.40]) by blaine.gmane.org with esmtp (Exim 4.84_2) (envelope-from ) id 1cW86c-0003k7-D0 for gsmc-categories@m.gmane.org; Tue, 24 Jan 2017 21:54:18 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:47360) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1cW852-0003kK-G3; Tue, 24 Jan 2017 16:52:40 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1cW84c-0007tS-U5 for categories-list@mlist.mta.ca; Tue, 24 Jan 2017 16:52:14 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:9084 Archived-At: The following preprint can be downloaded: M. Grandis - R. Par=E9 Multiple categories of generalised quintets Preprint: Pubbl. Mat. Univ. Genova, Preprint 607 (2017). Available at: http://www.dima.unige.it/~grandis/MlcGQ.pdf Abstract. We construct various multiple categories, based on =20 generalised Ehresmann quintets. The main construction is a multiple category whose objects are all =20 the `lax' multiple categories; the transversal arrows are their strict multiple functors while the =20 arrows in a positive direction are multiple functors of a `mixed laxity', varying from the lax ones =20 (in direction 1) to the colax ones (in direction \infty). ---------------- Marco Grandis (and Bob Par=E9)= [For admin and other information see: http://www.mta.ca/~cat-dist/ ]