Consider the below two claims about a topological space, denoted as (X,T):
Claim 1: Any subset of X can be declared as a topology.
Claim 2: The intersection of a finite number of topologies in T is also considered a topology in T.
Which of the following is correct?
1
Both Claim 1 and Claim 2 are correct.
2
Only Claim 1 is correct.
3
Only Claim 2 is correct.
4
Neither Claim 1 nor Claim 2 is correct.
5
Question Not Attempted