Is the gluing of bundles from notnecessarily trivial bundles just some kind of 2colimit?
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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 2colimit 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' 

