I have been doing some searching on material on infinite dimensional manifolds, but I found nothing satisfying.
I am not a mathematician, I am a physicist, and I am familiar with manifold theory in finite dimensions.
I would apreaciate if someone can explain to me how does a chart look in an infinite dimensional manifold, what is the tangent space, dual metric, the Λ'ς, etc.
For instance, in a 4 dimensional manifold a chart (roughly speaking) is a collection of 4 numbers (x, y, z, w).
I do want to know (in the same roughly level, so that I can "fell" it first), how does a chart in an the infinite dimensional case looks like.
Thanks for bothering,
Kostas