Introduction
in 1983 A.S.Mashhour [1] introduced the supra topological spaces .in 1965 Njastad [5] introduced the notion of ?-set in topological space and proved that the collection of all ?-set in (X,T) is a topology on X .R.Devi and S.Sampathkumar and M.Caldas [3]introduced and studied a class of sets and maps between topological spaces called supra ?-open sets and supra ?-continuous maps respectively .H.shaheed and S.
Introduced and study the continuity in bitopological space by using the ?-open set . in this paper we study the ?-open set and ?-continuous function and in supra topology and also we define supra ?-open map and supra ?-closed map and quotient map and supra ?-quotient map and study some theorems and property about them .

The closure and interior of asset A in (X,T) denoted by int(A), cl(A)respectively .A subset A is said to be ?-set if A?int(cl(int(A))).a sub collection ??2x is called supra topological space [4 ] , the element of ? are said to be supra open set in (X,?) and the complement of a supra open set is called supra closed set . The supra closure of asset A denoted by cl?(A) is the intersection of supra closed sets including A. The supra interior of asset A denoted by int?(A) is the union of a supra open sets included in A . The supra topology ? on X is associated with T if T??. A set A is called supra ?-open set if A?int?(cl?(int?(A))) [7].

A subset A in the bitopological space (X,T,T?) is called ?-open set if there exist ?-open set U such that A?U and A?intT(U)[ 6].
A mapping from the bitopology (X,T,T?) into (Y,V,V?) is called ?-continuous function iff the inverse image of each open set in Y is ?-open set in X .[2]