Sufficient conditions are given for the existence of light open mappings between p.l. manifolds. In addition, it is shown that a mapping f from a p.l. manifold
M
m
,
m
⩾
3
{M^m},m \geqslant 3
, to a polyhedron Q is homotopic to an open mapping of M onto Q iff the index of
f
∗
(
π
1
(
M
)
)
{f_\ast }({\pi _1}(M))
in
π
1
(
Q
)
{\pi _1}(Q)
is finite. Finally, it is shown that an open mapping of
M
m
{M^m}
onto a p.l. manifold
N
n
,
n
⩾
m
⩾
3
{N^n},n \geqslant m \geqslant 3
, can be approximated by a light open mapping of M onto N.