![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)
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
![Brouwer's fixed point theorem (Chapter 6) - Fixed Point Theorems with Applications to Economics and Game Theory Brouwer's fixed point theorem (Chapter 6) - Fixed Point Theorems with Applications to Economics and Game Theory](https://static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Abook%3A9780511625756/resource/name/firstPage-9780511625756c6_p28-30_CBO.jpg)
Brouwer's fixed point theorem (Chapter 6) - Fixed Point Theorems with Applications to Economics and Game Theory
![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)