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# interior exterior and boundary points of q

Let A be a subset of topological space X. De ne the interior of A to be the set Int(A) = fa 2A jthere is some neighbourhood U of a such that U A g: You proved the following: Proposition 1.2. Boundary, Interior, Exterior, and Limit Points Continued. D. y = −8|x| Notice that the set of all exterior points of D is ext(D) = Dcand the set of all interior points of D is B = f(x;y) 2R2: x2 + y2 <1g: Then R2 has a decomposition into a disjoint union of sets: R2 = B a @B a ext(D): The interior points are S and U. The boundary of A, denoted by b(A), is the set of points which do not belong to the interior or the exterior of A. 1. How much change should they have received? B = fz 2C : jzj< 1g, the open unit disc. Lie outside the regionbetween the two straight lines. Here, point P lies inside the circle. c.\${r\in \!\,\mathbb{Q} \!\,:0