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The theory of surgery on manifolds has been generalized to
categories of manifolds with group actions in several different
ways. This book discusses some basic properties that such theories
have in common. Special emphasis is placed on analogs of the
fourfold periodicity theorems in ordinary surgery and the roles of
standard general position hypotheses on the strata of manifolds
with group actions. The contents of the book presuppose some
familiarity with the basic ideas of surgery theory and
transformation groups, but no previous knowledge of equivariant
surgery is assumed. The book is designed to serve either as an
introduction to equivariant surgery theory for advanced graduate
students and researchers in related areas, or as an account of the
authors' previously unpublished work on periodicity for specialists
in surgery theory or transformation groups.
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