Question: Let X be a topological space and let A be a subset of X. a. Define an interior point of a set. (5 marks) b.

Let X be a topological space and let A be a subset of X.

a. Define an interior point of a set. (5 marks)

b. Prove that the interior of a closed set is also closed. (10 marks)

c. Prove that the closure of an open set is also open. (8 marks)

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