Teaching JKPSC Lecturership Mock Test Series 2024-25 Mathematical Science Topology Topological spaces and Continuous Functions
Let (X, T) be a topological space. Which of the following statements is correct regarding connectedness?
1
If a set is disconnected, its complement in X is connected.
2
All singleton sets in (X, T) are connected.
3
The union of two connected sets is always connected.
4
The intersection of two connected sets is always connected.