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Oct 2, 2012 at 17:40 comment added David Carchedi I guess it is only full for $n=0$ since $(-1)$-groupoids are always just the set of truth values, true and false, regardless of universe, but for any higher $n$, there are more $n$-groupoids in a bigger universe.
Oct 2, 2012 at 10:42 vote accept David Carchedi
Oct 2, 2012 at 3:46 history answered Jacob Lurie CC BY-SA 3.0