From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/531 Path: news.gmane.org!not-for-mail From: categories Newsgroups: gmane.science.mathematics.categories Subject: "weakened" operads Date: Tue, 18 Nov 1997 21:11:24 -0400 (AST) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Trace: ger.gmane.org 1241017020 26148 80.91.229.2 (29 Apr 2009 14:57:00 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 14:57:00 +0000 (UTC) To: categories Original-X-From: cat-dist Tue Nov 18 21:11:25 1997 Original-Received: (from cat-dist@localhost) by mailserv.mta.ca (8.8.8/8.8.8) id VAA00022; Tue, 18 Nov 1997 21:11:24 -0400 (AST) Original-Lines: 20 Xref: news.gmane.org gmane.science.mathematics.categories:531 Archived-At: Date: Mon, 17 Nov 1997 16:07:01 -0800 (PST) From: john baez In their book "Homotopy invariant structures on topological structures", Boardman and Vogt construct from any topological operad O a new one WO, which can be thought of as a "weakened" version of O in which all the laws of O now hold only up to homotopy in a coherent way. Has there been any subsequent work clarifying this construction? Here I'm not interested so much in all the *other* approaches to infinite loop space machines, as in the notion of "weakening" a topological operad. For example, Boardman and Vogt point out that their construction can be used to discuss homotopy colimits, which makes me wonder if the construction of WO from O could be done slickly using homotopy colimits. Has anyone discussed this? Best, John Baez