Let (β, π) be a topological space, where the topology π is defined as
π = {π ⊆ β βΆ π = β ππ 1 β π}.
Which of the following statements is/are correct?
1
(β, π) is first countableΒ
2
(β, π) is HausdorffΒ
3
(β, π) is separableΒ
4
The closure of (1,5) is [1,5]