Differential geometry of singular spaces and reduction of symmetry / J Sniatycki.

Includes bibliographical references and index.

1. Introduction;
Part I. Differential Geometry of Singular Spaces:
2. Differential structures;
3. Derivations;
4. Stratified spaces;
5. Differential forms;

Part II. Reduction of Symmetries:
6. Symplectic reduction;
7. Commutation of quantization and reduction;
8. Further examples of reduction;

References;
Index.

"In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces"--