Explore BrainMass

Explore BrainMass

    Consider an arbitrary mapping f : X -->Y. Suppose that f is a one-to-one onto. Prove the main property of the second set mapping: f^(-1)(Y) = X

    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!

    Topology
    Sets and Functions (XXVIII)
    Functions

    Consider an arbitrary mapping f : X -->Y. Suppose that f is a one-to-one onto.
    Prove the main property of the second set mapping:

    f^(-1)(Y) = X

    See the attached file.

    © BrainMass Inc. brainmass.com December 24, 2021, 6:50 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/142539

    Attachments

    SOLUTION This solution is FREE courtesy of BrainMass!

    Topology
    Sets and Functions (XXVIII)
    Functions

    Consider an arbitrary mapping f : X --> Y. Suppose that f is a one-to-one onto.
    Prove the main property of the second set mapping:

    f^(-1)(Y) = X

    See the attached file for the solution of the problem.

    Thanks for using BrainMass.com. Have a great day.

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

    © BrainMass Inc. brainmass.com December 24, 2021, 6:50 pm ad1c9bdddf>
    https://brainmass.com/math/geometry-and-topology/142539

    Attachments

    ADVERTISEMENT