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## Homework Statement

Consider the excluded point topology on a set X.

Determine Int(A) and Cl(A) for sets A containing p and for sets A not containing p.

Excluded point topology is all the subsets of X that exclude p.

where p is in X.

## The Attempt at a Solution

So the interior of a set A is the union of all open sets contained in A.

Would the interior for A be A-p , where we exclude p.

and would the interior be A where we include p.

Im not sure what the smallest closed set would be that contains A.

It seem like it would just be A.