You can read more about differentiable manofolds on wikipedia:
http://en.wikipedia.org/wiki/Differentiable_manifold, and that really is just an introduction. Math is fun, and that article is just a taste.
You may find some deep meaning in posts here, but not likely. If you do, please tell me. It may not be intentional. Topics will not be limited to Math, but may include politics, economics, science (several), history.
Sports are off-topic, unless I decide otherwise.
trigger warning: Arguments are likely.
that is all for now.