If A Cx We Define The Boundary Of A By The Equation Bd A An X A A Show That Int A And Bd A Are Disjoint And A 1 (36.39 KiB) Viewed 31 times
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If A CX, we define the boundary of A by the equation Bd A= Ān (X - A) (a) Show that Int A and Bd A are disjoint, and Ā= Int AU Bd A. (b) Show that Bd A =) = A is both open and closed. (c) Show that U is open BdU = Ū – U. (d) If U is open, is it true that U = Int(Ū)? Justify your answer. =
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