Let X be the space ℝ/ℤ with the quotient topology induced from the usual topology on ℝ. Consider the following statements.
I. X is compact.
II. X \ {x} is connected for any x ∈ X.
Which one of the following is correct?
1
Both I and II are TRUE
2
I is TRUE and II is FALSE
3
I is FALSE and II is TRUE
4
Both I and II are FALSE