  Let $A$ be a simple C*-algebra of stable rank one and let $p$ and $q$ be two
$\sigma$-compact open projections. It is proved that there is a continuous path
of unitaries in ${\tilde A}$ which connects open sub-projections of $p$ which
is compactly contained in $p$ to those in $q.$ It is also shown that every
Hilbert module is projective in the category whose morphisms are bounded module
maps with adjoints. A discussion of projective Hilbert modules (whose morphisms
are bounded module maps) is also given.
