![An Analysis of the First Proofs of the Heine-Borel Theorem - Borel's Proof | Mathematical Association of America An Analysis of the First Proofs of the Heine-Borel Theorem - Borel's Proof | Mathematical Association of America](https://www.maa.org/sites/default/files/images/upload_library/46/Heine-Borel_Theorem_Parker/Diagram1.jpg)
An Analysis of the First Proofs of the Heine-Borel Theorem - Borel's Proof | Mathematical Association of America
![elementary set theory - Problem applying the Cantor-Bernstein Theorem proof technique to two open intervals. (Jech problem) - Mathematics Stack Exchange elementary set theory - Problem applying the Cantor-Bernstein Theorem proof technique to two open intervals. (Jech problem) - Mathematics Stack Exchange](https://i.stack.imgur.com/vKMU4.png)
elementary set theory - Problem applying the Cantor-Bernstein Theorem proof technique to two open intervals. (Jech problem) - Mathematics Stack Exchange
![Heine-Cantor Theorem by Susan F. Henssonow, Lambert M. Surhone, Mariam T. Tennoe | 9786131274336 | Reviews, Description and More @ BetterWorldBooks.com Heine-Cantor Theorem by Susan F. Henssonow, Lambert M. Surhone, Mariam T. Tennoe | 9786131274336 | Reviews, Description and More @ BetterWorldBooks.com](https://images.bwbcovers.com/613/Heine-Cantor-Theorem-9786131274336.jpg)
Heine-Cantor Theorem by Susan F. Henssonow, Lambert M. Surhone, Mariam T. Tennoe | 9786131274336 | Reviews, Description and More @ BetterWorldBooks.com
![math prof on Twitter: math prof on Twitter:](https://pbs.twimg.com/media/EUTWHI_UUAAncDX.jpg)
math prof on Twitter: "@SamuelGWalters I prove this theorem every time I teach real analysis. This is the problem (or one of) that got Cantor interested in set theory. He proved this
![Historical Note von Neumann's original proof (1928) used Brouwer's fixed point theorem. Together with Danzig in 1947 they realized the above connection. - ppt download Historical Note von Neumann's original proof (1928) used Brouwer's fixed point theorem. Together with Danzig in 1947 they realized the above connection. - ppt download](https://slideplayer.com/slide/14030235/86/images/47/2D-Brouwer+on+the+Square.jpg)
Historical Note von Neumann's original proof (1928) used Brouwer's fixed point theorem. Together with Danzig in 1947 they realized the above connection. - ppt download
![Real Analysis, Lecture 13 Compactness and the Heine-Borel Theorem video lecture by Prof Francis Su of Other Providers Real Analysis, Lecture 13 Compactness and the Heine-Borel Theorem video lecture by Prof Francis Su of Other Providers](https://i.ytimg.com/vi/AQHVdiXRXQA/hqdefault.jpg)