# Borsuk-Ulam theorem implies Brower

This is the paper of Su, appeared on American Mathematical Monthly, Number 9, Vol. 104, 1997.

borsuk-implies-Brower

# Metric map

I don’t know about this concept. In fact the metric map is the nonexpansive map.

A continuous function between two metric spaces that does not increase distance, i.e.

$d(f(x),f(y) \le d(x,y)$ with $f: X \to Y$.

There are many names for this concept: metric map, nonexpansive map, Lipschitz map with constant $K=1$, short map, weak contraction, nonexpanding map.