Through out this paper , (,
) stands for topological space. Let (,
) be a topological space and  a subset of
. A point  in  is called condensation point of  if for each  in
with  in , the set U ?  is un countable [3]. In
1982 the  ?closed set was first introduced by H. Z. Hdeib in [3], and he defined it as:  is ?closed if it contains all
its condensation points and the  ?open set is the complement of the  ?closed set. Equivalently. A sub set  of a
space (,
), is
?open if and only if for each  ?  , there exists  ?
such that  ? and \ is countable. The
collection of all  ?open sets of (,
)denoted
 form topology on  and it is finer than
. Several characterizations
of  ?closed sets were provided in [1, 3, 4, 6].
In 2009 in [5] T. Noiri, A. Al-Omari, M. S. M. Noorani introduced and investigated new notions called
 ?  ?open,  ? ?open,  ?  ?open and ?  ?open sets which are weaker than  ?open set. Let us
introduce these notions in the following definition: