Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Analysis Metric Spaces
Which of the following statements is true regarding metric spaces?
1
A metric space is compact if and only if it is complete and totally bounded.
2
Every contraction mapping on a complete metric space has multiple fixed points.
3
Connectedness of a metric space implies that it is compact.
4
Uniform continuity of a function between metric spaces implies continuity vice versa.
5
Question Not Attempted