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I noticed that we have kinematic tangent bundle.
To incorporate this a bit into the nLab -web I have created stubs for operational tangent bundle (wanted by its kinematic cousin) and for synthetic tangent bundle and then I have interlinked all these entries and linked to them from tangent bundle.
Also gave the Idea-section of kinematic tangent bundle a very first paragraph which very briefly says it all, before diving into discussion of what generalized smooth spaces are etc.
I redid the Idea sections of operational tangent space in a way that makes more sense to me. (I didn't touch kinematic tangent space, which goes into more detail anyway.)
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