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Posted: **Sun Jul 10, 2022 11:14 am**

: 3 0 5 Pt Let X Be Endowed With Metric Dx And Y Be Endowed With Metric Dy Write Down The Definition Of F X Y Being 1 (16.49 KiB) Viewed 5 times

(3) (0.5 pt) Let X be endowed with metric dx and Y be endowed with metric dy. Write down the definition of f: X→ Y being continuous, in terms of -d language. (4*) (1.5 pts) Under the setting of (3), show that f is continuous if and only if f-¹(U) is open for any open U CY.