I’ve uploaded a couple files to the expository writings section of the site. The first is a proof of the fundamental result in fundamental analysis known as the Hahn-Banach theorem, which tells us that normed spaces have plenty of linear functionals. The second is a proof of the Knaster-Kuratowski-Mazurkiewicz (KKM) theorem, which is used to prove the Ky Fan minimax inequality and existence of Nash equilibria for certain strategy profiles.

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