Many thanks for pointing this out Peter - As you'll see shortly, V. is Vincent Schmitt. My autopilot apparently failed this morning... sigh. cheers, Bob On Wed, 19 Nov 2008, Peter Selinger wrote:
Hi Bob,
who is the mysterious "V"? It seems that the "From" field was completely erased from today's two messages on the categories list.
-- Peter
From categories@mta.ca Wed Nov 19 11:49:10 2008 Return-Path: <categories@mta.ca> X-Spam-Checker-Version: SpamAssassin 3.2.3 (2007-08-08) on test4net.MathStat.Dal.Ca X-Spam-Level: * X-Spam-Status: No, score=2.0 required=4.8 tests=BAYES_00,DATE_IN_PAST_06_12, DCC_CHECK,DNS_FROM_SECURITYSAGE,LOCALPART_IN_SUBJECT autolearn=no version=3.2.3 X-Original-To: selinger@mathstat.dal.ca Delivered-To: selinger@mathstat.dal.ca Received: from sxt-sm-1.ucis.dal.ca (SXT-SM-1.UCIS.Dal.Ca [129.173.5.72]) by chase.mathstat.dal.ca (Postfix) with SMTP id C431C5C279 for <selinger@mathstat.dal.ca>; Wed, 19 Nov 2008 11:49:10 -0400 (AST) Received: from kil-av-3.ucis.dal.ca (KIL-AV-3.UCIS.Dal.Ca [129.173.1.208]) by sxt-sm-1.ucis.dal.ca (8.14.2+Sun/8.14.2) with SMTP id mAJFlK6R009915 for <selinger@mathstat.dal.ca>; Wed, 19 Nov 2008 11:47:20 -0400 (AST) Received: from (KIL-MX-1.UCIS.Dal.Ca [129.173.1.129]) by kil-av-3.ucis.dal.ca with smtp id 12cc_0077_595c4a3c_b651_11dd_886f_00142222ffad; Wed, 19 Nov 2008 11:47:19 -0400 X-Dal-Submitter-IP: 137.122.6.67 Received: from mx1.uottawa.ca (mx1.uottawa.ca [137.122.6.67]) by kil-mx-1.ucis.dal.ca (8.14.2+Sun/8.14.2) with ESMTP id mAJFjkFr023853 for <selinger@mathstat.dal.ca>; Wed, 19 Nov 2008 11:45:46 -0400 (AST) Received: from localhost (unknown [127.0.0.1]) by mx1.uottawa.ca (Postfix) with ESMTP id E7D2340092; Wed, 19 Nov 2008 15:45:40 +0000 (UTC) X-Virus-Scanned: amavisd-new at uottawa.ca Received: from mx3.uottawa.ca ([137.122.6.69]) by localhost (mx1.uottawa.ca [137.122.6.67]) (amavisd-new, port 10024) with ESMTP id 8x5OMUpfotAs; Wed, 19 Nov 2008 10:45:40 -0500 (EST) Received: from science.uottawa.ca (scimail.science.uottawa.ca [137.122.43.19]) by mx3.uottawa.ca (Postfix) with ESMTP id C1C47200027; Wed, 19 Nov 2008 10:45:40 -0500 (EST) Received: from Spooler by science.uottawa.ca (Mercury/32 v3.32) ID MO00F3DC; 19 Nov 08 10:45:40 -0500 Received: from spooler by science.uottawa.ca (Mercury/32 v3.32); 19 Nov 08 10:45:17 -0500 Received: from mx3.uottawa.ca (137.122.6.69) by science.uottawa.ca (Mercury/32 v3.32) with ESMTP ID MG00F3D8; 19 Nov 08 10:45:14 -0500 Received: from localhost (unknown [127.0.0.1]) by mx3.uottawa.ca (Postfix) with ESMTP id F05A520002A; Wed, 19 Nov 2008 15:45:13 +0000 (UTC) X-Virus-Scanned: amavisd-new at uottawa.ca Received: from mx2.uottawa.ca ([137.122.6.68]) by localhost (mx3.uottawa.ca [137.122.6.69]) (amavisd-new, port 10024) with ESMTP id 1nGCtGdbKSkY; Wed, 19 Nov 2008 10:45:07 -0500 (EST) Received: from mailserv.mta.ca (mailserv.mta.ca [138.73.1.1]) by mx2.uottawa.ca (Postfix) with ESMTP id 8137128090; Wed, 19 Nov 2008 10:45:07 -0500 (EST) Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from <categories@mta.ca>) id 1L2p8A-00028o-19 for categories-list@mta.ca; Wed, 19 Nov 2008 11:38:14 -0400 To: categories@mta.ca Subject: categories: Re: Symmetric monoidal closed categories Date: 19 Nov 2008 08:39:29 +0000 Mime-Version: 1.0 Content-Type: text/plain; format=flowed; charset=ISO-8859-1 Sender: categories@mta.ca Precedence: bulk Reply-To: Bob Rosebrugh <rrosebru@mta.ca> Message-Id: <E1L2p8A-00028o-19@mailserv.mta.ca> From: categories@mta.ca X-NAI-Spam-Flag: NO X-NAI-Spam-Threshold: 5 X-NAI-Spam-Score: 0 X-NAI-Spam-Version: 2.1.0.7694 : core <3150> : streams <160088> : uri <29793 X-Myspam-seen: Wed Nov 19 11:49:17 AST 2008 X-Myspam: no X-Myspam-reason: categories-list@mta.ca Status: O
A bit more. You may be interested by the V-category of V-functors [A,B] for V-categories A and B -- Take care of the sizes though. V= SSet, Ab etc... References for this: Day and Kelly certainly. Kelly's "Basic concepts of enriched category theory" or Day's thesis and early papers.
Best, V.
On Nov 19 2008, Bockermann Bockermann wrote:
Dear mathematicians,
I wonder if the following is true. Has anybody a reference, if this is the case?
For a complete and co-complete symmetric monoidal closed category C and a small category D the functor category Fun(D,C) is pointwise a symmetric monoidal category. Is this a closed symmetric monoidal structure? This is true for simplicial sets and simplicial abelian groups for example.
Thank you for any help.
Tony