Recent content by jRSC

Thanks, I think I got it. If T=\capTa, then: 1. 0 (empty set) and X \inT, since 0, X \in all Ta 2. If U1, U2\in T, then U1, U2\in all Ta; their intersection must be in all Ta as well (as is the defn. of a topology), so U1\capU2\in\bigcapTa 3. you gave me. For the next question...

Hey guys, I'm reading Munkres book (2nd edition) and am caught on a problem out of Ch. 2. The problem states: If {Ta} is a family of topologies on X, show that (intersection)Ta is a topology on X. Is UTa a topology on X? Sorry for crappy notation; I don't know my way around the symbols...