Mathematics Homework Solutions
Problem
#51222

Proof of existence of a one-to-one correspondence between the open interval (0, 1) and the half-open interval (0, 1]

Prove that there is a bijection from the open interval (0, 1) to the half-open interval (0, 1].


Solution Summary

A function f:(0, 1) -> (0, 1] is provided, along with a detailed proof that f is not only a one-to-one function but also an onto function.

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