Iz،m. cw-complex

In this paper we introduce a new tool in algebraic topology which is called Iz،m. cw-complex (analogous terminology of J.H.C. Whitehead in [1] ) . By studying effect of this complex on the spectral sequences , we obtained some results , such as ; 1- Any complex is an Iz،m. cw-complex if m≤-z 2- Let are two cw-complex , if k equiv z k, then k is an I z،m. cw-complex Leftrightarrow k is an I z،m. cw-complexes 3- If k is an I z،m. cw-complexes, then η r m،n cong r m،n forall n 2،3،...،z and j Upsilon x +1،m isonto، forall Upsilon 4- Let k be a cw-complex , if is (z-1) connected , then k is a , Iz،m. cw-complex and the converse is not true.