From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/4358 Path: news.gmane.org!not-for-mail From: "Mike Stay" Newsgroups: gmane.science.mathematics.categories Subject: symmetric monoidal closed bicategory definition? Date: Thu, 3 Apr 2008 13:45:15 -0700 Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241019893 12901 80.91.229.2 (29 Apr 2009 15:44:53 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:44:53 +0000 (UTC) To: categories Original-X-From: rrosebru@mta.ca Sat Apr 5 15:26:36 2008 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Sat, 05 Apr 2008 15:26:36 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1JiCsH-0003t8-PO for categories-list@mta.ca; Sat, 05 Apr 2008 15:12:21 -0300 Content-Disposition: inline Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 7 Original-Lines: 14 Xref: news.gmane.org gmane.science.mathematics.categories:4358 Archived-At: I'm trying to find out what the appropriate definition of a symmetric monoidal closed bicategory is. Day & Street define symmetric monoidal bicategories in "Monoidal bicategories and Hopf algebroids." Has someone considered the closed case? Are there different notions of closed for a bicategory, the adjoints to tensoring with an object versus tensoring with a 1-morphism? I've been told that pseudoadjunctions are the appropriate generalization of adjunctions for the bicategory case. -- Mike Stay - metaweta@gmail.com http://math.ucr.edu/~mike http://reperiendi.wordpress.com