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(9) Show that the given collection F is an open cover for S such that it does not contain a finite subcover and so S

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(9) Show that the given collection F is an open cover for S such that it does not contain a finite subcover and so S is not compact. ((a) S = (0,2); and F = { U, | n E N ) where Un = (1,2-1) (b) S = (0,co); and F = (Un | n EN ) where Un = (0, n)

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