what is the exterior point of set
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The exterior of a set is the interior of its complement, equivalently the complement of its closure; it consists of the points that are in neither the setnor its boundary.
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bharatjhingonia:
what is the exterior point of a rational number..??
set of rational number*
It is an open set in R, and so each pointof it is an interior point of it. Noboundary point and no exterior point. But R considered as a subspace of the space C of all complex numbers, it hasno interior point, each of its point is a boundary point of it and its complement is the set of all itsexterior points.
but in set of rational number no point is an a interior point because in between two rational number lies infinitely many irrational points
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The set of all exterior points of A is said to be the exterior of A and is denoted by Ext(A). Remark: It may be noted that an exterior point of A is an interior point of Ac. If A is a subset of a topological space X, then (1) Ext(A)=Int(Ac) (2) Ext(Ac)=Int(A).
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