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Interior, Exterior and Boundary Points (Topology)
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The notions that play important role in the concept of topology are interior, exterior and boundary points in the subset of a topological space. An interior of the subset S of a topological space X is the union of all open subsets of S that are open in X. In this concept, the interior and the closure of S are dual notion, then the interior is the complement of the closure of the complement of S while the exterior is the complement of the closure of S. The boundary is when it is the intersection of the closure of S with the closure of its complement. To learn more about this, please watch more in the video.
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