- #1
Design
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Homework Statement
Prove that if S is open and Sc is open then boundary of S must be empty
The Attempt at a Solution
S is open means boundary of S is a subset of Sc
Sc is open means boundary of Sc is a subset of S (By taking complement of both sides from the definition ?)
This means that they have the same boundary?
Don't know how to proceed from here
thanks