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Q # 1) Discuss Continuous and Uniformly Continuous map by two metric spaces. Also give am example with varification of a map (8+4+ 4 = 10 ) ( i) which is uniformly continuous (li) which is not Uniformly Cootimious. Q#2 Prove or elisprove the following statements Every normned Space in a Banach Space. 1) Every immer Product Space is a mooimed space. Every Banach Space is a Hilbest place. d Every Ti-space is a T2-space. (6+5+ 5+6= 22) 2# 3 Let X = Sasb,cyds, then checks which collection of subsets of X is a topology on X and which is not ( give reason ) Liv) Ju = $9 , Saab3 , 8 cod3, x ] ( b ) Let ( R, F) be a usual topological space and A= [2, 3 3 CR, then kimel Bed(A). ( C ) Let x = s asboc,d ] , J = {