Share
Explore BrainMass

Continuity of a metric space

(See attached file for full problem description)

Prove: The function f from the metric space X into the metric space Y is continuous if and only if is closed in X whenever F is closed in Y.

Attachments

Solution Summary

This solution is comprised of a detailed explanation to prove the function f from the metric space X into the metric space Y is continuous if and only if is closed in X whenever F is closed in Y.

$2.19