Exterior (topology)

Exterior (topology)

In topology, the exterior of a subset "S" of a topological space "X" is the union of all open sets of "X" which are disjoint from "S". It is itself an open set. The exterior of "S" is denoted by

:"ext" "S"

or

:"S""e".

Equivalent definitions

The exterior is equal to the complement of the topological closure of "S" and to the interior of the complement of "S" in "X".


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