Course Solutions Uncategorized (Solved) : Please Need Solutions Problem 3 Problem 4 Need Solution Don T Solve One Leave Onethank Q33114709 . . . .

(Solved) : Please Need Solutions Problem 3 Problem 4 Need Solution Don T Solve One Leave Onethank Q33114709 . . . .

 

Please I need solutions to problem 3 and problem 4. Ineed the solution for both. Don’t solve one and leave the otherone.Thank you
Problem 2 Show that a set A in a metric space (M, d) is compact (see the definition on p. 152) if and only if (A, d) is a compact metric space. Problem 3 A metric space (X, d) is called countably compact every open cover of X which consists of countably many open sets, contains a finite subcover. Show that every countably compact metric space is sequentially compact. Problem 4 C 0,, endowed with the sup-norm onsider C, the normed vector space of continuous functions on the interval sup If(x). Show that B-fEC l1) rElo.1 fails to be sequentially compact. Hint: Find a squence (f.) in B which satisfies llf-fal2 1 for all nメm.Problem

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