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
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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 ad1c9bdddfhttps://brainmass.com/math/geometry-and-topology/142539
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.
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© BrainMass Inc. brainmass.com December 24, 2021, 6:50 pm ad1c9bdddf>https://brainmass.com/math/geometry-and-topology/142539