Memoirs of the American Mathematical Society 2013; 60 pp; softcover Volume: 226 ISBN10: 0821887416 ISBN13: 9780821887417 List Price: US$62 Individual Members: US$37.20 Institutional Members: US$49.60 Order Code: MEMO/226/1062
 For \(M\) a closed manifold or the Euclidean space \(\mathbb{R}^n\), the authors present a detailed proof of regularity properties of the composition of \(H^s\)regular diffeomorphisms of \(M\) for \(s > \frac{1}{2}\dim M+1\). Table of Contents  Introduction
 Groups of diffeomorphisms on \(\mathbb{R}^n\)
 Diffeomorphisms of a closed manifold
 Differentiable structure of \(H^s(M,N)\)
 Appendix A
 Appendix B
 Bibliography
