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Jan 26, 2018 at 9:35 comment added Philippe Gaucher The answer is already in your question. The last sentence means geometrically that you're considering a cubical set with the two families of connections and you replace each cube by the simplex which is "orthogonal" to the direction $(0,...,0)\to (1,...,1)$ which is close to $(0,...,0)$.
Jan 24, 2018 at 14:29 history edited Maxime Lucas
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Jan 24, 2018 at 14:12 history asked Maxime Lucas CC BY-SA 3.0