- #1
Justhanging
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Homework Statement
True or false:
Let S be any set in R2. The boundary of S is the set of points contained in S which are not in the interior of S.
Homework Equations
The Attempt at a Solution
Common sense tells me true. I don't really understand it though, if S is an open set than it doesn't have a boundary? Maybe if set S contains only one point than its boundary is also its interior. Can someone clarify and give relevant theroms associated with this.