In this paper we show that the set of all the continuous maps which are toplogi-cally conjugate to subshift of finite type is dense in the space of all the continuos mapsof the Cantor set with the topology of uniform convergence,Moreover,a topologically transitive(resp. mixing)map of the cantor set is approximated uniformly by topolgically transitive(resp.mixing)map which is topologically conjugate to subshift of finite type.
