From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/9154 Path: news.gmane.org!.POSTED!not-for-mail From: Joseph Moeller Newsgroups: gmane.science.mathematics.categories Subject: Grothendieck Construction Date: Mon, 13 Mar 2017 14:40:05 -0700 Message-ID: Reply-To: Joseph Moeller NNTP-Posting-Host: blaine.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: quoted-printable X-Trace: blaine.gmane.org 1489514918 1312 195.159.176.226 (14 Mar 2017 18:08:38 GMT) X-Complaints-To: usenet@blaine.gmane.org NNTP-Posting-Date: Tue, 14 Mar 2017 18:08:38 +0000 (UTC) To: categories@mta.ca Original-X-From: majordomo@mlist.mta.ca Tue Mar 14 19:08:33 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 1cnqrv-0007ZO-V9 for gsmc-categories@m.gmane.org; Tue, 14 Mar 2017 19:08:24 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:56333) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1cnqpO-0000yc-1B; Tue, 14 Mar 2017 15:05:46 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1cnqoi-0004hl-7d for categories-list@mlist.mta.ca; Tue, 14 Mar 2017 15:05:04 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:9154 Archived-At: I'm looking for a reference where a theorem of this form was first proven: > If (C,=E2=8A=97_C) is (symmetric) monoidal, F: C -> Cat a lax (symmetric) monoidal functor, and =CE=BC the associated natural transformation, then the Grothendieck category of F is (symmetric) monoidal with =E2=8A=97 defined by (c,x)=E2=8A=97(d,y)=3D(c=E2=8A=97d,=CE=BC_c,d(x,y)). The proof is a straightforward verification, so I expect it has been done before. thanks, Joe Moeller [For admin and other information see: http://www.mta.ca/~cat-dist/ ]