Hello,
Having vector bundles would be nice! But what do you mean by *abstract* vector bundle?
Ah. I meant vector bundles without specifying any maps. But since changes of frames/coordinates and continuations are convenient to have, this seems unavoidable. Where would you start if you'd program a vector bundle?
As a general rule, it is indeed better to introduce things step by step, in a sequence of tickets, instead of a single big ticket.

Then, it would be better to start with the tangent bundle, to introduce the algorithm and concepts first.

Best regards,
Michael


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