Homework Statement
Let Tx and Ty be topologies on X and Y, respectively. Is T = { A × B : A\inTx, B\inTy } a topology on X × Y?
The attempt at a solution
I know that in order to prove T is a topology on X × Y I need to prove:
i. (∅, ∅)\inT and (X × Y)\inT
ii. T is closed under...