 Solution

ID: past-exam-of-the-probability-statistics-and-options-ii-course-of-the-university-of-oxford/2007/e/3/b/solution

True. A separation of

Y

into two disjoint nonempty open subsets would pull back under the continuous surjection

f

to a separation of

X

. The inverse images are nonempty by surjectivity, contradicting connectedness of

X

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