Wow. Thanks for the speedy response.
And, yeah, I'm pretty sure it was mentioned as an aside in class that most interesting manifolds embed in R^n, it's just that the class started last week, and we aren't using that result yet. Hell, I don't even know what an embedding is beyond some...
I was just wondering if anyone had a decent web site explaining some of the basic terminology of differential topology. Specifically, I'm having a bit of trouble understanding charts and atlases and how one defines a smooth manifold in an arbitrary setting (i.e., not necessarily embedded in R^n)