I am studying manifold. For comprehension, I read the site http://en.wikipedia.org/wiki/Manifold, and there is some information about infinite dimensional manifold.
Now I have two questions or requests:
(1) When was infinite dimensional manifold introduced? I guess this may be related to Functional Analysis. But I want more details about its history.
(2) I am still curious about the properties about infinite dimensional manifold, especially local same as topological vector space. Could someone give a reference about it. Thanks.