I'm in need of some assistance with the following quesiton:
Let be collection of topological spaces and let be collection of subsets. Prove or bring a counter example showing whether:
in a) the product topology, b) the box topology.
I'm certain that it is incorrect in the product topology but I have yet to find a counter-example, as for the box topology I'm not sure.
I would greatly appreciate if someone could help me out here!
Thanks a lot.