And I think they can even be made compact, by just using a bijection from [0,1] to \R and then pushing forward the metric on [0,1] induced by the usual metric
I just wanted to remark that the trivial metric d(x,y) = 1 if x =/= y and 0 if x = y induces the trivial topology on |R^{n} (on any set, actually). Therefore, non-equivalent metrics on euclidean spaces do exist
I really hate to interrupt like this, but does maybe anyone have access to this paper? A friend of mine needs it for his bachelor thesis, and we're both not allowed to view it.
