  There are investigated problems connected with local and boundary properties
of Orlicz--Sobolev classes of finite distortion which are actively studied last
time. It is showed that, a locally uniform limit of local homeomorphisms of
Orlicz--Sobolev class is a local homeomorphism or a constant whenever it's
dilatations satisfy corresponding restrictions. Besides that, at some
additional conditions, it is showed that, a locally uniform limit of the
mappings mentioned above is a local homeomorphism or a constant.
