A map *f * is
*locally one-to-one*
if every point *p* of the domain of *f * has a neighborhood
that is mapped one-to-one by *f *. That is, for every *p* in
the domain of *f * there is an open neighbordhood *U * of
*p* such that *f * restricted to *U * is injective.

* 8/12/94 dpvc@geom.umn.edu -- *

*The Geometry Center*