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Jul 20, 2016 at 11:04 comment added Tim Porter A useful insight into this can be found in Grothendieck's famous `letter to Quillen', which forms the first 17(?) pages of Pursuing Stacks. That insight shows that the Galois theoretic analogy can be pursued to higher dimensions. This is very important for understanding higher dimensional category theory and its links with algebraic topology.
Jan 5, 2016 at 9:29 history edited Michael Albanese CC BY-SA 3.0
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Oct 21, 2009 at 1:25 comment added Reid Barton pi_n(X) will classify something when X is (n-1)-connected, though (after all there's no other information present in the n-groupoid).
Oct 20, 2009 at 22:24 history answered Peter Arndt CC BY-SA 2.5