Timeline for Two notions of tangent vector for a Fréchet manifold
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 23, 2010 at 11:04 | comment | added | David Carchedi | Right, this seems to be a key place where things go wrong... | |
| Oct 23, 2010 at 7:43 | comment | added | Andrew Stacey | Actually, it is relevant. Kriegl and Michor show that with the bornological approximation property, derivations are the same as the double dual. Thus reflexivity is a key property. | |
| Oct 22, 2010 at 18:02 | comment | added | Dick Palais | True, but that is not relevant. Instead of your 2) what is relevant for the question asked is the space of point derivations at $0$ of the ring $\Gamma$ of germs of smooth functions at $0$, i.e., the linear maps of $\ell: \Gamma \to \mathbb R$ satisfying the derivation identity $\ell(fg) = \ell(f) g(0) + f(0) \ell(g)$. | |
| Oct 22, 2010 at 16:48 | history | answered | André Henriques | CC BY-SA 2.5 |