In a short paper published just one year prior to his thesis, Maurice Frechet gives a simple generalization one what we might today call the Extreme value theorem. This generalization is a simple matter of coming up with ``the right definitions in order to make this work. In this mini PSP, we work through Frechet\u27s entire 1.5 page paper to give an extreme value theorem in more general topological spaces, ones which, to use Frechet\u27s newly coined term, are compact
