The Interior (topology) reference article from the English Wikipedia on 24-Apr-2004 (provided by Fixed Reference: snapshots of Wikipedia from wikipedia.org)

Interior (topology)

In topology, the interior of a set is the union of all open sets contained in it, and contains all interior points. It is the largest open set contained in the original set. The interior of a set S is denoted by int S, Int S, or, S^o.

A set S is an open set iff S is equal to the interior of S.

Examples

• The interior of the empty set is empty.
• int [1, 10] = (1, 10)
• int {(x, y) ∈ R² | y ∈ (0, 1]} = {(x, y) ∈ R² | y ∈ (0, 1)}

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