From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1072 Path: news.gmane.org!not-for-mail From: street@mpce.mq.edu.au (Ross Street) Newsgroups: gmane.science.mathematics.categories Subject: Re: lax monad Date: Mon, 15 Mar 1999 09:39:21 +1000 Message-ID: <199903142238.JAA04945@hera.mpce.mq.edu.au> NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" X-Trace: ger.gmane.org 1241017547 29376 80.91.229.2 (29 Apr 2009 15:05:47 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:05:47 +0000 (UTC) To: categories@mta.ca Original-X-From: cat-dist Sun Mar 14 21:52:03 1999 Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.9.3/8.9.3) id UAA11456 for categories-list; Sun, 14 Mar 1999 20:30:29 -0400 (AST) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f X-Sender: street@hera.mpce.mq.edu.au Original-Sender: cat-dist@mta.ca Precedence: bulk Original-Lines: 17 Xref: news.gmane.org gmane.science.mathematics.categories:1072 Archived-At: >I am looking for literature references for the notion of a 'lax' monad (or >triple), and lax algebras over such, in the context of 2-categories--the >definition being that the usual diagrams commute only up to a 2-cell. Can >anyone suggest good references? Some good old references are: M. Barr "Relational algebras" SLNM 137 (1970) 39-55 M. Bunge, "Coherent extensions and relational algebras" Transactions AMS around 1974. G.M. Kelly & R. Street, "Review of the elements of 2-categories" SLNM 420 (1974) 75-103. --Ross