03 a) Consider the set X = {1,2,3) with the topology T = {0,X,[1}, {2,3}, {1,2,3} }. Show that (x, t) is a topological space. b) Prove that if X is a topological space, then the union of any finite collection of closed sets is closed. 03 a) Consider the set X = {1,2,3) with the topology T = {0,X,[1}, {2,3}, {1,2,3} }. Show that (x, t) is a topological space. b) Prove that if X is a topological space, then the union of any finite collection of closed sets is closed