Let A be a non-empty set in a metric space (X,d). Define by

. Prove that f is continuous.

I dont see how to bound f(x) and f(y)

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- Dec 30th 2011, 03:31 AMFGT12Proving a function is continuous in a metric spaces
Let A be a non-empty set in a metric space (X,d). Define by

. Prove that f is continuous.

I dont see how to bound f(x) and f(y) - Dec 30th 2011, 04:10 AMFernandoRevillaRe: Proving a function is continuous in a metric spaces
The class of subsets of in the form or is a subbasis of . Prove that and are open sets.*Hint* - Dec 30th 2011, 04:23 AMPlatoRe: Proving a function is continuous in a metric spaces
- Dec 30th 2011, 05:27 AMILikeSerenaRe: Proving a function is continuous in a metric spaces
- Dec 30th 2011, 06:02 AMPlatoRe: Proving a function is continuous in a metric spaces
- Dec 30th 2011, 06:26 AMILikeSerenaRe: Proving a function is continuous in a metric spaces