(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Question: Prove Int(A) is an open set, given Int(A) is the set of all interior pts of A where x is an interior pt of A if it is the centre of an open ball in A.

2. Relevant equationsNone

3. The attempt at a solution

Attempted Soln: Suppose x is an element of Int(A).

Then there exists r > 0 such that B(x, r) is a subset of A.

Have tried to extend this to say there exists r > 0 such that B(x, r) is a subset of Int(A), but with no success.

Have also tried to prove C(Int(A)) contains all its limit pts and thus is closed. Then Int(A) would be open.

Just looking for a hint to get me on the right road. Thanks

**Physics Forums - The Fusion of Science and Community**

# Topology, Int(A) is an open set

Have something to add?

- Similar discussions for: Topology, Int(A) is an open set

Loading...

**Physics Forums - The Fusion of Science and Community**