From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/497 Path: news.gmane.org!not-for-mail From: categories Newsgroups: gmane.science.mathematics.categories Subject: Operads, multicategories Date: Mon, 13 Oct 1997 09:17:41 -0300 (ADT) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Trace: ger.gmane.org 1241017001 26013 80.91.229.2 (29 Apr 2009 14:56:41 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 14:56:41 +0000 (UTC) To: categories Original-X-From: cat-dist Mon Oct 13 09:18:34 1997 Original-Received: by mailserv.mta.ca; id AA15651; Mon, 13 Oct 1997 09:17:41 -0300 Original-Lines: 25 Xref: news.gmane.org gmane.science.mathematics.categories:497 Archived-At: Date: Mon, 13 Oct 1997 10:36:43 +0100 (BST) From: Tom Leinster An advertisement for an article, available by electric transmission from http://www.dpmms.cam.ac.uk/~leinster. ABSTRACT Notions of `operad' and `multicategory' abound. This work provides a single framework in which many of these various notions can be expressed. Explicitly: given a monad * on a category S, we define the term (S,*)-multicategory, subject to certain conditions on S and *. Different choices of S and * give some of the existing notions. We then describe the algebras for an (S,*)-multicategory, and finish with a selection of possible further developments. Our approach enable concise descriptions of Baez and Dolan's opetopes and Batanin's operads; both of these are included. Tom Leinster