From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/8096 Path: news.gmane.org!not-for-mail From: Mike Stay Newsgroups: gmane.science.mathematics.categories Subject: "Weakly closed" monoidal bicategories? Date: Fri, 2 May 2014 09:40:47 -0600 Message-ID: Reply-To: Mike Stay NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 X-Trace: ger.gmane.org 1399050360 7199 80.91.229.3 (2 May 2014 17:06:00 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 2 May 2014 17:06:00 +0000 (UTC) To: categories Original-X-From: majordomo@mlist.mta.ca Fri May 02 19:05:55 2014 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 1WgGuG-0003QK-UC for gsmc-categories@m.gmane.org; Fri, 02 May 2014 19:05:53 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:43854) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1WgGtp-0003op-1r; Fri, 02 May 2014 14:05:25 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1WgGtn-0002s5-Rw for categories-list@mlist.mta.ca; Fri, 02 May 2014 14:05:23 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:8096 Archived-At: In a closed symmetric monoidal bicategory, the categories Hom(A tensor B, C) and Hom(A, hom(B, C)) are equivalent. It occurred to me that one could weaken this equivalence to a mere adjunction. Looking for references, I found Lars Birkedal's thesis where he considers "weakly closed partial cartesian" bicategories. Are there other references I should be aware of? Thanks! -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com [For admin and other information see: http://www.mta.ca/~cat-dist/ ]