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Question 3. If (Z,o) is a topological space and h : (Z,o) + (R,U) is a function Then determine which of the following statements are true. Give reasons for your
answers.
(a) If h is continuous, then Z is homeomorphic to the graph Gh of h
(b) If h is a homeomorphism, then (Z, o) is a compact Hausdorff space.
c) If (Z, o) is a compact space, K is a closed subset of Z and h is continuous, then (h (Z),Uz) is closed in R.
(d) (R,T[a,) is a compact topological space.