Cantor-Bernstein-Schröder Theorem/Historical Note

Historical Note on Cantor-Bernstein-Schröder Theorem

Cantor raised the Cantor-Bernstein-Schröder Theorem as a conjecture in $1895$.

He first attempted to prove it in his $1897$ paper.

Ernst Schröder also stated this theorem in $1896$, 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.


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Schröder-Bernstein theorem (Cantor-Bernstein theorem)
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Schröder-Bernstein theorem (Cantor-Bernstein theorem)