Take and . We have .
For the second question, this lemma may help you: A topological space is connected if an only if every continuous map is constant.
,.,hello there,.,.can anyone please help me with this???i'm so confused,.,.thnx
Let A and B be Connected Sets in the Plane which are not Disjoint. is A intersection B necessarily connected?? What about A union B???
.,.thnx sir,.,ammm,.,.i've read something like this " a topological space X is said to be connected if there are no proper closed subsets A and B such that A intersection B = null and A union B = X..
so i have somehow concluded that the first question is not necessarily connected. and the second is it is connected,.,.are my conclusions right sir??