Recent content by Colossus91

  1. C

    Proof: Topology of subsets on a Cartesian product

    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...