Let f: X --> Y be a continuous map. Let A (SYMBOL) C.
Show that, if (FUNCTION1) is closed, then (FUNCTION2).
*(For complete problem, including proper citation of functions and symbols, please see attachment)© BrainMass Inc. brainmass.com December 24, 2021, 5:12 pm ad1c9bdddf
Please see the attachment.
First, I claim that .
Since , then . From the condition, we know is closed, this means that . But ...
Let f: X --> Y be a continuous map. This is a proof if the function is closed.