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![4 = {+ point of A is a EN] A is discrete. So, no limit point. B = (0,1] (tu The set of limit points of B = c/B) = [0,1] - (](http://img.homeworklib.com/questions/fb54f0e0-d5ed-11ea-bf8b-0f6a8145e7be.png?x-oss-process=image/resize,w_560)
4 = {"+" point of A is a EN] A is discrete. So, no limit point. B = (0,1] (tu The set of limit points of B = c/B) = [0,1] - (26/01) pecah C is dense in 10, 1].
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. The set of kinit points of C = [0, 1] (x, Ind.) is X. In discrete A 70 ACX The only open, non-empty set X is the set of limit point of A, if (A132, and X.A is the set of limit point, if | Al = 1 B. STAA Ina I: ANA'A=0]. Forward implications follows from definition of compact set, as every ease covers y let the condition holds.
Net (alaes open for X. v X. EX Lxt A st. RE Uxx - 7 B A E B sit. XE BX C U xx with finite cover (6) be any is a cover {B}ne X subcover.
N Bail Hence is compact XC U Uuri
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