O N 93% 2:47 Let X and Y be two discrete spaces, then * X is homomorphic to Y if and only if X and Y are both infinite X is homeomorphic to Y if and only if X and Y are both finite X is never...

Extracted text: O N 93% 2:47 Let X and Y be two discrete spaces, then * X is homomorphic to Y if and only if X and Y are both infinite X is homeomorphic to Y if and only if X and Y are both finite X is never homeomorphic to Y X is homeomorphic to Y if and only if X and Y have the same cardinality Which one of the following statements is true? * R with the Euclidean topology and R with the finite closed topology are not homeomorphic None of the choices R with the Euclidean topology and R with the finite closed topology are homeomorphic R with the Euclidean topology and R with the discrete topology are homeomorphic