 Solution

ID: past-exam-of-the-probability-statistics-and-options-i-course-of-the-university-of-oxford/2008/e/1/a/i/solution

f : X \to Y

is one for which

f^{- 1} (U)

is open in

X

whenever

U

is open in

Y

. This defines continuity using the two topologies, without a metric or a coordinate description.

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