From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/3827 Path: news.gmane.org!not-for-mail From: Anders Kock Newsgroups: gmane.science.mathematics.categories Subject: tensorial strength Date: Wed, 18 Jul 2007 10:52:50 +0200 Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" ; format="flowed" X-Trace: ger.gmane.org 1241019547 10476 80.91.229.2 (29 Apr 2009 15:39:07 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:39:07 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Wed Jul 18 10:58:22 2007 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Wed, 18 Jul 2007 10:58:22 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1IB9vf-0002Qg-EE for categories-list@mta.ca; Wed, 18 Jul 2007 10:50:59 -0300 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 21 Original-Lines: 19 Xref: news.gmane.org gmane.science.mathematics.categories:3827 Archived-At: In reply to Jeff Egger: Actions by monoidal categories were considered by Benabou in 1967 ("Intoduction to bicategories", Midwest Category Seminar I); strength of functors between categories on which a monoidal category acts were considered by H. Lindner, in some papers/preprints in the late 70s, and a summary is given in his "Enriched categories and enriched modules", Cahiers Vol 22 (1981), 161-174. This paper also contains several references. -Aspects of tensorial strength has been developed by several computer-science mathematicians later (starting with E. Moggi, I believe); I do not know much about their work, so my answer to Jeff's question may not be up to date. Anders Kock