This is a retyping of the paper written by myself and
A. Verjovsky which appeared in
"Seminario de Sistemas Dinamicos" edited by J. Palis, Monografias de
matematica 4 (1971), IMPA Rio de Janeiro Brazil, Chapter 9.
It contains a proof of the stability of Anosov diffeomorphisms following
the idea of Mather. Mather's original proof had a gap because the
composition map is not continuously differentiable. This paper supplies
the necessary uniformities to make this proof work.
It is available in the following formats: