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Oct 25, 2023 at 21:42 history edited NinjaDarth CC BY-SA 4.0
Upgraded the layout (\hspace 1em becomes \quad), removed the editorial remarks. You can find them in the earlier edits.
Oct 25, 2023 at 21:39 comment added NinjaDarth Ok. I'll remove the editorial, if you wish.
Dec 30, 2022 at 21:53 comment added LSpice I love the historical background of this answer, but perhaps your opening could be phrased more objectively as, for example, "this perspective is historically backwards"? I don't think one can objectively argue about whether one perspective is more or less intuitive. For example, for me, writing things out explicitly in the way that you do makes things much harder, not easier, to hang a geometric intuition on—but I understand that there are plenty of people who reason otherwise, and I definitely feel it's important to have both viewpoints available.
Dec 30, 2022 at 21:52 history edited LSpice CC BY-SA 4.0
A few typos, and TeX
Dec 30, 2022 at 21:30 history edited NinjaDarth CC BY-SA 4.0
Additional remarks on the Cartan-Maurer forms and co-tangent bundle.
Dec 30, 2022 at 21:20 history edited NinjaDarth CC BY-SA 4.0
Ditto.
Dec 30, 2022 at 21:15 history answered NinjaDarth CC BY-SA 4.0