Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Topology Topological spaces and Continuous Functions
Suppose f ∶ [0, 1] × [0,1] → (0, 1) × (0, 1) is a continuous non-constant function. Which of the following statements is NOT true?
1
Image of f is uncountable
2
Image of f is a path connected set
3
Image of f is a compact set
4
Image of f has non-empty interior
5
Question Not Attempted