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* Fibrations of groupoids
@ 2017-03-12 21:23 John Baez
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From: John Baez @ 2017-03-12 21:23 UTC (permalink / raw)
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Dear Category Theorists -

My grad student Kenny Courser is looking for the references where it was
first
shown that:

1) Fibrations of groupoids are preserved by strict pullbacks.

2) For any functor between groupoids f: G -> H, we can find an equivalence
of groupoids g: G -> G' and a fibration f': G' -> H such that f and f'g are
naturally isomorphic.

If anyone could point us in the right direction, it would be greatly
appreciated.  Of
course these claims may have first been shown in greater generality, and
that would
be fine too.

Best,
jb


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