bert_the_turtle wrote:You forgot to tell us what the topological definition of a continuous function is, and what the topology induced by a metric is.
And you made me hate math with the pure legwork proof you made me go through in my head. Congratulations, that is quite an accomplishment! I'll need to read some Lie Algebra stuff now.
It was assumed that you knew what those were. :P And yes, it is a pure legwork proof, and a clever undergrad should be able to figure it out. It was a nice break from covering r-balls with rho-balls.
xander