On Jun 17, 1:26 pm, Jaime Fernandez del Rio <jaime.f...@gmail.com> wrote: > On Wed, Jun 17, 2009 at 1:52 PM, Mark Dickinson<dicki...@gmail.com> wrote: > > Maybe James is thinking of the standard theorem > > that says that if a sequence of continuous functions > > on an interval converges uniformly then its limit > > is continuous?
s/James/Jaime. Apologies. > P.S. The snowflake curve, on the other hand, is uniformly continuous, right? Yes, at least in the sense that it can be parametrized by a uniformly continuous function from [0, 1] to the Euclidean plane. I'm not sure that it makes a priori sense to describe the curve itself (thought of simply as a subset of the plane) as uniformly continuous. Mark -- http://mail.python.org/mailman/listinfo/python-list