![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/3/Brouwer%E2%80%99s+Fixed+Point+Theorem.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
![general topology - Brouwers Fixed Point Theorem Proof using Winding Numbers - Mathematics Stack Exchange general topology - Brouwers Fixed Point Theorem Proof using Winding Numbers - Mathematics Stack Exchange](https://i.stack.imgur.com/zHcXC.png)
general topology - Brouwers Fixed Point Theorem Proof using Winding Numbers - Mathematics Stack Exchange
![general topology - Brouwer's fixed point theorem using category theory and "a computation involving covering spaces, that $\pi(S^1) = \mathbb Z$" - Mathematics Stack Exchange general topology - Brouwer's fixed point theorem using category theory and "a computation involving covering spaces, that $\pi(S^1) = \mathbb Z$" - Mathematics Stack Exchange](https://i.stack.imgur.com/HmNU5.png)