  Let $U$ and $V$ be open subsets of the Cantor set with finite disjoint
complements, and let $h:U\to V$ be a homeomorphism with dense orbits. Building
from the ideas of Herman, Putnam, and Skau, we show that the partial action
induced by $h$ can be realized as the Vershik map on a Bratteli diagram, and
that any two such diagrams are equivalent.
