Explore BrainMass

Explore BrainMass

    Continuous map

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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 March 4, 2021, 6:12 pm ad1c9bdddf
    https://brainmass.com/math/discrete-math/continuous-map-limited-points-35014

    Attachments

    Solution Preview

    Please see the attachment.

    Proof:
    First, I claim that .
    Since , then . From the condition, we know is closed, this means that . But ...

    Solution Summary

    Let f: X --> Y be a continuous map. This is a proof if the function is closed.

    $2.49

    ADVERTISEMENT