Let X be a set and let T1 and T2 be two topologies on X such that T1 is a subset of T2. Which of the following is always correct?
1
If (X, T1) is compact, then (X, T2) is also compact.
2
If (X, T1) is connected, then (X, T2) is also connected.
3
If (X, T2) is compact, then (X, T1) need not be compact.
4
If (X, T2) is connected, then (X, T1) is also connected.
5
Question Not Attempted