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.
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Topology
Sets and Functions (XXVIII)
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Solution Summary
This solution is comprised of a detailed explanation of the main property of the second set mapping.
It contains step-by-step explanation of the following problem:
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
Notes are also given at end.
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