Cantor-Bernstein-Schröder Theorem/Historical Note
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Historical Note on Cantor-Bernstein-Schröder Theorem
Cantor first attempted to prove this theorem in his $1897$ paper.
Ernst Schröder had also stated this theorem some time earlier, but his proof, as well as Cantor's, was flawed.
It was Felix Bernstein who finally supplied a correct proof in his $1898$ Ph.D. thesis.