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Oct 30, 2023 at 4:34 comment added Willie Wong thanks for fixing it. I've deleted my comments which are now obsolete.
Oct 27, 2023 at 19:00 history edited Jan Nienhaus CC BY-SA 4.0
added 3 characters in body
Oct 27, 2023 at 18:59 comment added Jan Nienhaus Oh, you are perfectly right! I edited the answer, that was a slip of my brain.
Oct 26, 2023 at 23:17 comment added Jan Nienhaus Notation depends a bit on how you define these things. For me $TM$ is as a set the union of all tangent spaces, so an element of $TM$ is called $v$, while for you $TM$ seems to consist of pairs of a tangent vector and its basepoint. Either way, $T_v T_p M$ is not the same as $T_v TM$, one is a strict subset of the other. Of course, since we could have just evaluated only a zero to begin with, the two maps can generally agree on neither.
Oct 25, 2023 at 21:04 history edited LSpice CC BY-SA 4.0
`exp` -> `\exp`
Oct 25, 2023 at 18:33 history edited Jan Nienhaus CC BY-SA 4.0
added 9 characters in body
Oct 25, 2023 at 18:13 history answered Jan Nienhaus CC BY-SA 4.0