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In topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points in the closure of S not belonging to the interior of S. An element of the boundary of S is called a boundary point of S. The term boundary operation refers to finding or taking the boundary of a set. Notations used for boundary of a set S include and . Some authors (for exampl… WebJun 13, 2024 · The boundary of a set A is A ¯ ∩ X ∖ A ¯ : every neighbourhood (or ball if you prefer) of a boundary point intersects A and also its complement. So the boundary … captain zack twitch
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