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Jun 10, 2020 at 16:29 history edited Ronnie Brown CC BY-SA 4.0
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Mar 21, 2016 at 11:27 history edited Ronnie Brown CC BY-SA 3.0
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Mar 4, 2013 at 11:30 comment added Ronnie Brown Sorry: that should have been $\rho_2 X \otimes \rho_2 X \to rho_2 X$, where $\otimes$ is the double groupoid tensor.
Mar 4, 2013 at 11:28 comment added Ronnie Brown @David: I can deal better with the simplicity of double categories and groupoids, so would tend to use Moore paths and rectangles to get a strict double version $\rho_2 X$ of the bigroupoid $\Pi_2 X$. Then if $X$ is a topological monoid, one can easily get a braiding $\rho_s \otimes \rh0_2 X \to \rho_2 X$. Lots more to be looked at!
Mar 4, 2013 at 0:14 comment added David Roberts One might say that natural numbers greater than 1 having more than one divisor is complicating matters... (joke!) Of course, I like strict models as much as the next person (see my paper with Urs Schreiber, for instance), but these do not seem present the same kind of fusion of geometry and algebra that the fundamental groupoid (of a nice space) gives, and which my recent preprint constructs on $\Pi_2$.
Mar 1, 2013 at 20:36 history edited Ronnie Brown CC BY-SA 3.0
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Mar 1, 2013 at 18:56 history edited Ronnie Brown CC BY-SA 3.0
mainly grammar and clarification
Feb 28, 2013 at 23:16 history answered Ronnie Brown CC BY-SA 3.0