Let be the family of sets in such that is empy or is finite.
Show that is a topology on . By considering the inverse images of closed sets, show that every polynomial function is -continuous.
Hey everyone, I was wondering if anyone could assist me with the 2nd part. If is closed in then is the empty set, or A is finite, i.e. A is or finite.
I don't understand though how is closed and I would really appreciate some advice here, thank you so much. This would show continuity of the polynomial functions.