1. The problem statement, all variables and given/known data 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. 3. 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.