Montreal's progress in weak categories: notes on Joyal's and Hermida's talks and Joyal-Street's conversations
Michael Batanin (22/10/97 and 29/10/97)
This talk was based on my impressions of the Montreal conference in September 1997 (Billfest), especially the talks and conversations about higher dimensional category theory. So there were 3 subjects I was talking about:- The categories of disks and trees of A.Joyal.
- The category BigOmega as proposed by R.Street. The result is: Bigomega is the generic monoidal globular category containing a globular monoid.
- C.Hermida's construction of a bicategory Span_H ( where H is a shape or cartesian monad ) and how to get the higher order operads in my sense from this construction (this result was obtained in the conversations of A.Joyal and R.Street and independently by T.Leinster).
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Steve Lack Last modified: Tue May 19 13:56:12 EST 1998