Proof That the Cartesian Product of Closed Sets is Closed
Theorem
Ifforeachthen
Proof
Let
Letwhereisopen inthenwhereisthe part ofwhereeachisexceptfor theth,which isWethen have
Henceand
Theorem
Ifforeachthen
Proof
Let
Letwhereisopen inthenwhereisthe part ofwhereeachisexceptfor theth,which isWethen have
Henceand