Problem 150Is there an expansive homeo of $\mathbb S^2$?TopDynSmoothDynCommentsrpotrie (2017-02-18 05:07:58 -0800 -0800):No. See Lewowicz, Jorge. Expansive homeomorphisms of surfaces. Bol. Soc. Brasil. Mat. (N.S.) 20 (1989), no. 1, 113–133.Mike Boyle (2017-07-06 16:29:46 -0700 -0700):Also see \cite{Hiraide1990}.
Comments
No. See Lewowicz, Jorge. Expansive homeomorphisms of surfaces. Bol. Soc. Brasil. Mat. (N.S.) 20 (1989), no. 1, 113–133.
Also see \cite{Hiraide1990}.