is a (smooth) manifold allowed to have different dimensions in different points.

alemsalem

obviously in one coordinate neighborhood it can't..
I'm thinking of a line which smoothly develops into a surface : -----<<

what particular properties would this object have..

Thanks :)

alemsalem Recognitions: Gold Member	is a (smooth) manifold allowed to have different dimensions in different points. Tweet obviously in one coordinate neighborhood it can't.. I'm thinking of a line which smoothly develops into a surface : -----<< what particular properties would this object have.. Thanks :)