prove that A complement is close Iff A is open n Topological space X

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Complements of Open Subsets of the Real Line are Closed Complements of Open Subsets of the Real Line are Closed
A Set is Closed if and only if its Complement is Open || Metric Spaces A Set is Closed if and only if its Complement is Open || Metric Spaces
The interior of a set is the largest open subset of that set. The interior of a set is the largest open subset of that set.
Prove that Compliment of open set is closed Prove that Compliment of open set is closed
THEOREM:A set S is said to be closed if and only if its complement is open. THEOREM:A set S is said to be closed if and only if its complement is open.
Topological space is disconnected iff it has a nonempty proper subset which is both open and closed Topological space is disconnected iff it has a nonempty proper subset which is both open and closed
8) In a Metric Space, a subset of X is closed iff it 8) In a Metric Space, a subset of X is closed iff it's complement is open || Chapter 5 || Mathopedia
Open Complement Closed Open Complement Closed