Let f: (X1,d1) -> (X2, d2) be a continous function. Let C, a subset of X2 be compact.

Is f^-1(C) ("f inverse") compact in X2?

Having trouble finding a counterexample...

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- Mar 15th 2009, 01:20 PMmath_helpContinous function
Let f: (X1,d1) -> (X2, d2) be a continous function. Let C, a subset of X2 be compact.

Is f^-1(C) ("f inverse") compact in X2?

Having trouble finding a counterexample... - Mar 15th 2009, 02:50 PMTheEmptySet
- Mar 16th 2009, 11:26 AMmath_help
What do you mean by saying I assume you mean X1?

- Mar 16th 2009, 11:31 AMTheEmptySet