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PACE NO., 08, thats kGx in, Compacti., prove that i F has fap then, is compact, set X-F, X-, But KCXX., -: There exists finite, such that, Erst Nuppase., KC, F has .i.p and., KC X-のE, that, にCXーK., Suppose that, ds has t.i.p, There exiete, finite, contradiction, set, be wrong, which, ア, such that, - Oue assumption must, Define, Since, X-F Ps open fos each, Also, converse paut baki hai, Function:, Let (x,d), ゴ-X, FE Is ciased set, each, Continuous, and, FEF, spaces and let, d function, function, be, U(X-F), びーx:f, X -DF, f is said to be continuous, %3D, There., Oマラ A, exisle S, such that, d (x, a)<8 = s (fex),flas) <E, X =, XニU(x-F), f(a) f(a), kC X = U(X-F), But, KC U(X-F), lim fix)= f ca), -G is an open cover for R, A., function f is said 20 be continuous, if f is, continuous, at