Brouwer's fixed point theorem and language universals

Brouwer's fixed point theorem and language universals 01/13/2013 Fixed point theorem was discovered by L. E. J.Brouwer in Math. Ann., 69 (1910), 71 (1912). In 1950 J. F. Nash defined Nash equilibriumoint  at strategic form game using SUMITANI's fixed point theorem. There may be some important suggestion on language universals to which I have never satisfied the inductive research at philology. There may be needed  axiomatic approach as same as the the proposal of the axiom of topology. Refer to the next. John F. Nash. Jr. / 26 October 2012