From: categories <cat-dist@mta.ca>
To: categories <categories@mta.ca>
Subject: "weakened" operads
Date: Tue, 18 Nov 1997 21:11:24 -0400 (AST) [thread overview]
Message-ID: <Pine.OSF.3.90.971118211114.1802K-100000@mailserv.mta.ca> (raw)
Date: Mon, 17 Nov 1997 16:07:01 -0800 (PST)
From: john baez <baez@math.ucr.edu>
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
next reply other threads:[~1997-11-19 1:11 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
1997-11-19 1:11 categories [this message]
1997-11-20 19:51 categories
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