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Apr 28, 2013 at 18:52 comment added Sam Gunningham See Scott Carnahan's answer below for more about the relationship between the cubical and the simplicial way of thinking. Also, Ronnie Brown points out in his answer that the simplicial approach to higher groupoids is not necessarily "better", at least not in all regards.
Apr 26, 2013 at 16:38 history answered Sam Gunningham CC BY-SA 3.0