*Theorem: IPA is at space X then subspace ofa topology (A 4 HEA is open in A iff H-Anu, Uis open in X FEA is closed in A iff F = Ank,k is closed in X- If ESA then cl₂ (E) = An clx(E) is CLE) CL (E) بالعلي : IPESA then Int. (E) ≤ Int (E) If XEA then v is an bhd of x in A iff V=UAA uis anbhd of x in X 7 If xEA and Bx is anbhol base at x in X then [BAAIBEB is anbhd base of x in A. is a If B is a base for X then [BAA.Bepis base for A- If ASE the Fr (E) ≤ AAF, (E)-