Is the gluing of bundles from not-necessarily trivial bundles just some kind of 2-colimit?



gluing bundles as a 2-colimit
not my answer, but David Carchedi's answer in a comment:


'What you might be thinking is, the category of principal bundles over a fixed base is a 2-colimit over all covers of the base (or some cofinal subset) of the categories of principal bundles over that fixed base which trivialize over the given cover'


