P: The family of subsets {A
n = (-1/n, 1/n), n = 1, 2, ...} satisfies the finite intersection property.
Q: On an infinite set X , a metric d : X * X --> R is defined as d(x,y) = [0 , x = y and 1, x ≠ y] The metric space (X,d) is compact.
R: In a Frechet (T1) topological space, every finite set is closed.
S: If f : R --> X is continuous, where R is given the usual topology and (X, t) is a Hausdorff (T2) space, then f is a one-one function.
Which of the above statements are correct?
