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.
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