Re: Contractible metric space

From: Lasse (lasse_rempe_at_yahoo.de)
Date: 02/28/05 

Date: 28 Feb 2005 02:45:57 -0800

The idea of the metric is to ensure that points in the complex plane
which converge to i will converge to the endpoint (1,*) in the new
space, while the points (t,*) with t\in (0,1) cannot be accumulated on
by points in the original set Y.

So the point is that the endpoints of the line segments in Y, i.e., the
points
    x_n := e^{\pi/2 - \pi/2n}
converge to (1,*). However, the points
    x_n(t) := t x_n
do not converge to (t,*). Am I missing something?

Lasse