Ferreira, FlávioPinto, Alberto A.2015-10-142015-10-142003Ferreira, F., & Pinto, A. A. (2003). Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces. Ergodic Theory and Dynamical Systems, 23, 509–517. doi:10.1017/S01433857020013470143-38571469-4417http://hdl.handle.net/10400.22/6688For diffeomorphisms on surfaces with basic sets, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point in the basic set then the conjugacy has a smooth extension to the surface. These results generalize the similar ones of D. Sullivan, E. de Faria and ours for one-dimensional expanding dynamics.engHyperbolicityConjugacyRigidityjournal article10.1017/S0143385702001347