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3. Suppose that (M, ρ) is a compact metric space and f : (M, p)-+ (M,p) is a function such that (Vz, y E M) ρ (z, y) ρ (f (x), f (
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SOLVED:04 Show" #hy R is not compact. 12 matk; Gire example of infinite subsct A of R which has no accumulation points in R [2 marks] (jii) Show that if A i
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SOLVED:(a) Prove that every compact metric space is a complete metric space, but the converse is not true (b) Let A,B € R3 be two nonempty subsets. (10) Show that if A
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