Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Topology Topological spaces and Continuous Functions
Suppose X and Y are topological spaces and\( f: X \to Y\) is a continuous surjective map. Which of the following statements is correct?
1
If Y is compact, then X is also compact.
2
If X is compact, then Y is need not be compact.
3
If Y is connected, then X is also connected.
4
If X is connected, then Y is also connected.
5
Question Not Attempted