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starting a dedicated entry for the category of vector bundles with homomorphisms allowed to cover non-trivial base maps (while previously we only had VectBund(B) for fixed base $B$).
For the moment the main point is to record the interesting cartesian- and tensor-monoidal structure (now here)
added (here) a section “Properties — Distributive monoidal structure” which spells out the elementary argument that $(Vect_{Set}, \sqcup, \boxtimes)$ is distributive monoidal (a verbatim copy of the same few paragraphs which I just added at distributive monoidal category, announed there)
also added (here) a further subsection “Properties — Amalgamation of monoidal and parameter structures” which is meant to be experimental for the moment (I left a disclaimer “under construction”).
The point of this last subsection I discuss in another thread: here.
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