This book provides an overview of some of the most active topics in the
theory of transformation groups over the past decades and stresses
advances obtained in the last dozen years. The emphasis is on actions of
Lie groups on manifolds and CW complexes. Manifolds and actions of Lie
groups on them are studied in the linear, semialgebraic, definable,
analytic, smooth, and topological categories. Equivalent vector bundles
play an important role.
The work is divided into fifteen articles and will be of interest to
anyone researching or studying transformations groups. The references
make it easy to find details and original accounts of the topics
surveyed, including tools and theories used in these accounts.