A basic tour on infinite dimensional manifolds

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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