Ever seen the little ‘You Are Here’ dot on a map of the airport, or the mall, or any other structure? That’s a demonstration of the Brouwer Fixed-Point Theorem. Violently shaken martini shakers and ...

This is a preview. Log in through your library . Abstract We prove constructively that, in order to derive the uniform continuity theorem for pointwise continuous mappings from a compact metric space ...

You might be surprised to learn that you can’t comb the hairs flat on a coconut without creating a cowlick. Perhaps even more surprising, this silly claim with an even sillier name, the “hairy ball ...